Global differential geometry : [electronic resource] the mathematical legacy of Alfred Gray : International Congress on Differential Geometry September 18-23, 2000, Bilbao, Spain / Marisa Fern�andez, Joseph A. Wolf, editors.

By:

International Congress on Differential Geometry (2000 : Bilbao, Spain)

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 288.Publication details: Providence, RI : American Mathematical Society, c2001.Description: 1 online resource (xxx, 457 p. : ill.)ISBN:

9780821878781 (online)

Subject(s):

Global differential geometry -- Congresses

Additional physical formats: Global differential geometry :DDC classification:

516.3/62 21

LOC classification:

QA670 .I55 2001

Online resources:

Partial contents:

On the formality problem for symplectic manifolds / Ivan K. Babenko and Iskander A. Taimanov -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04812 Osculating tubes and self-linking for curves on the three-sphere / Thomas F. Banchoff -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04813 Isoparametric functions and harmonic and minimal unit vector fields / E. Boeckx and L. Vanhecke -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04814 The Seiberg-Witten equations and almost-Hermitian geometry / S. K. Donaldson -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04815 Sculpture inspired by work with Alfred Gray: Kepler elliptic curves and minimal surface sculptures of the planets / Helaman Ferguson -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04816 Mesoscopic curvature and hyperbolicity / Misha Gromov -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04817 Stable forms and special metrics / Nigel Hitchin -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04818 A CR-momentum ansatz for nilpotent groups / A. Huckleberry and M. V�oller -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04819 Can tangent sphere bundles over Riemannian manifolds have strictly positive sectional curvature? / O. Kowalski, M. Sekizawa and Z. Vl�a�sek -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04820 Volumes of geodesic balls and spheres associated to a metric connection with torsion / Vicente Miquel -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04821 Special isothermic surfaces and solitons / Emilio Musso and Lorenzo Nicolodi -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04822 The isoperimetric and Willmore problems / Antonio Ros -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04823 Almost parallel structures / Simon Salamon -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04824 Technical computing with Mathematica / Paul Wellin -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04825 Complex geometry and representations of Lie groups / Joseph A. Wolf -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04826 On the volume of compact spacelike hypersurfaces with hyperbolic boundary in Minkowski space / Juan A. Aledo and Jos�e A. Pastor -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04827 Stability of zero mean curvature surfaces in flat Lorentzian $4$-manifolds / Luis J. Al�ias and Bennett Palmer -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04828 Hitchin-Kobayashi correspondence for equivariant bundles on $X\times \Bbb P^1$ / Luis �Alvarez-C�onsul and Oscar Garc�ia-Prada -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04829 Hopf vesicles in $S^3(1)$ / J. Arroyo and O. J. Garay -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04830 Invariant nearly K�ahler $f$-structures on homogeneous spaces / Vitaly V. Balashchenko -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04831 An extension of A. Gray's investigations on small geodesic balls / N. Bokan, M. Djori�c and U. Simon -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04832 An energy minimizing family of unit vector fields on odd-dimensional spheres / Vincent Borrelli, Fabiano Brito and Olga Gil-Medrano -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04833 Is it admissible to linearize the Einstein equation in the presence of matter? / Llu�is Bruna and Joan Girbau -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04834 Solutions of some conformally invariant equations of the first order / Jarol�im Bure�s -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04835 On biharmonic maps / Renzo Caddeo, Stefano Montaldo and Paola Piu -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04836 Characterizations of Pfaffian systems. Consequences in dimension five / Mar�ia A. Ca�nadas-Pinedo and Ceferino Ruiz -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04837 On a new class of contact Riemannian manifolds / Jong Taek Cho -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04838 Description of $(1,2)$-symplectic metrics on flag manifolds / Nir Cohen, Caio J. C. Negreiros and Luiz A. B. San Martin -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04839 Complex surfaces with Betti numbers $b_1=1,\ b_2>0$ and finite quotients / Georges Dloussky -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04840 Hypercomplex nilpotent Lie groups / Isabel G. Dotti and Anna Fino -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04841 $\mathfrak {C}$-spaces of Iwasawa type and Damek-Ricci spaces / Maria J. Druetta -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04842 Deformations of constant mean curvature surfaces in half space models / M. Elisa E. L. Galv�ao and C�elia C. G�oes -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04843 The geometry of the skew-symmetric curvature operator in the complex setting / Peter Gilkey and Raina Ivanova -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04844 Representing minimal curves in $\Bbb C^3$ by differential operators / Hubert Gollek -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04845 Isometric immersions without positive Ricci curvature / Luis Guijarro -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04846 Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold / Josef Jany�ska -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04847 On Alfred Gray's elliptical catenoid / Hugo Jim�enez and Santiago L�opez de Medrano -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04848 Sub-Riemannian geometry and non-holonomic mechanics / Jair Koiller, Paulo R. Rodrigues and Paulo Pitanga -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04849 Weil algebras of generalized higher order velocities bundles / Miroslav Kure�s -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04850 The variety of Lie algebras from certain Riemannian viewpoint / Jorge Lauret -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04851 How to use MATHEMATICA$^{\rm TM}$ to find cyclic surfaces of constant curvature in Lorentz-Minkowski space / Rafael L�opez -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04852 The Fuglede-Ishihara and Baird-Eells theorems for $p>1$ / E. Loubeau -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04853 Cohomology of nilmanifolds and Gontcharova's theorem / Dmitri V.

Millionschikov -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04854 Asymptotically holomorphic embeddings of contact manifolds in projective spaces / Vicente Mu�noz, Fran Presas and Ignacio Sols -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04855 Convergent star products on Fr�echet linear Poisson algebras of Heisenberg type / Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04856 Resolutions of $2$-polyhedra by fake surfaces and embeddings into $\Bbb R^4$ / Alexander Onischenko, Du�san Repov�s and Arkady Skopenkov -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04857 Cayley $4$-frames and a quaternion K�ahler reduction related to ${\rm Spin}(7)$ / Liviu Ornea and Paolo Piccinni -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04858 Old and new structures on products of spheres / Maurizio Parton -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04859 $1$-homogeneous sprays in Finsler manifolds / L. Del Riego -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04860 The Gysin sequence for Riemannian flows / Jos�e Ignacio Royo Prieto -- http://www.ams.org/conm/288/ http://dx.doi.org/10.1090/conm/288/04861

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Includes bibliographical references.

On the formality problem for symplectic manifolds / Ivan K. Babenko and Iskander A. Taimanov -- Osculating tubes and self-linking for curves on the three-sphere / Thomas F. Banchoff -- Isoparametric functions and harmonic and minimal unit vector fields / E. Boeckx and L. Vanhecke -- The Seiberg-Witten equations and almost-Hermitian geometry / S. K. Donaldson -- Sculpture inspired by work with Alfred Gray: Kepler elliptic curves and minimal surface sculptures of the planets / Helaman Ferguson -- Mesoscopic curvature and hyperbolicity / Misha Gromov -- Stable forms and special metrics / Nigel Hitchin -- A CR-momentum ansatz for nilpotent groups / A. Huckleberry and M. V�oller -- Can tangent sphere bundles over Riemannian manifolds have strictly positive sectional curvature? / O. Kowalski, M. Sekizawa and Z. Vl�a�sek -- Volumes of geodesic balls and spheres associated to a metric connection with torsion / Vicente Miquel -- Special isothermic surfaces and solitons / Emilio Musso and Lorenzo Nicolodi -- The isoperimetric and Willmore problems / Antonio Ros -- Almost parallel structures / Simon Salamon -- Technical computing with Mathematica / Paul Wellin -- Complex geometry and representations of Lie groups / Joseph A. Wolf -- On the volume of compact spacelike hypersurfaces with hyperbolic boundary in Minkowski space / Juan A. Aledo and Jos�e A. Pastor -- Stability of zero mean curvature surfaces in flat Lorentzian $4$-manifolds / Luis J. Al�ias and Bennett Palmer -- Hitchin-Kobayashi correspondence for equivariant bundles on $X\times \Bbb P^1$ / Luis �Alvarez-C�onsul and Oscar Garc�ia-Prada -- Hopf vesicles in $S^3(1)$ / J. Arroyo and O. J. Garay -- Invariant nearly K�ahler $f$-structures on homogeneous spaces / Vitaly V. Balashchenko -- An extension of A. Gray's investigations on small geodesic balls / N. Bokan, M. Djori�c and U. Simon -- An energy minimizing family of unit vector fields on odd-dimensional spheres / Vincent Borrelli, Fabiano Brito and Olga Gil-Medrano -- Is it admissible to linearize the Einstein equation in the presence of matter? / Llu�is Bruna and Joan Girbau -- Solutions of some conformally invariant equations of the first order / Jarol�im Bure�s -- On biharmonic maps / Renzo Caddeo, Stefano Montaldo and Paola Piu -- Characterizations of Pfaffian systems. Consequences in dimension five / Mar�ia A. Ca�nadas-Pinedo and Ceferino Ruiz -- On a new class of contact Riemannian manifolds / Jong Taek Cho -- Description of $(1,2)$-symplectic metrics on flag manifolds / Nir Cohen, Caio J. C. Negreiros and Luiz A. B. San Martin -- Complex surfaces with Betti numbers $b_1=1,\ b_2>0$ and finite quotients / Georges Dloussky -- Hypercomplex nilpotent Lie groups / Isabel G. Dotti and Anna Fino -- $\mathfrak {C}$-spaces of Iwasawa type and Damek-Ricci spaces / Maria J. Druetta -- Deformations of constant mean curvature surfaces in half space models / M. Elisa E. L. Galv�ao and C�elia C. G�oes -- The geometry of the skew-symmetric curvature operator in the complex setting / Peter Gilkey and Raina Ivanova -- Representing minimal curves in $\Bbb C^3$ by differential operators / Hubert Gollek -- Isometric immersions without positive Ricci curvature / Luis Guijarro -- Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold / Josef Jany�ska -- On Alfred Gray's elliptical catenoid / Hugo Jim�enez and Santiago L�opez de Medrano -- Sub-Riemannian geometry and non-holonomic mechanics / Jair Koiller, Paulo R. Rodrigues and Paulo Pitanga -- Weil algebras of generalized higher order velocities bundles / Miroslav Kure�s -- The variety of Lie algebras from certain Riemannian viewpoint / Jorge Lauret -- How to use MATHEMATICA$^{\rm TM}$ to find cyclic surfaces of constant curvature in Lorentz-Minkowski space / Rafael L�opez -- The Fuglede-Ishihara and Baird-Eells theorems for $p>1$ / E. Loubeau -- Cohomology of nilmanifolds and Gontcharova's theorem / Dmitri V.