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Differential geometry : [electronic resource] [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973 / edited by S. S. Chern and R. Osserman].

By: Symposium in Pure Mathematics Stanford University, 1973Contributor(s): Chern, Shiing-Shen, 1911- | Osserman, Robert | American Mathematical SocietyMaterial type: Text

TextSeries: Proceedings of symposia in pure mathematics ; v. 27.1Publication details: Providence, R.I. : American Mathematical Society, 1975Description: 1 online resource (2 v. : ill.)ISBN: 9780821893135 (online)Subject(s): Geometry, Differential -- CongressesAdditional physical formats: Differential geometry :DDC classification: 516/.36 LOC classification: QA641 | .S88 1973Online resources: Contents | Contents

Partial contents:

D�eformations localement triviales des vari�et�es Riemanniennes / L. B�erard-Bergery, J. P. Bourguignon and J. Lafontaine -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0388467 Some constructions related to H. Hopf's conjecture on product manifolds / Jean Pierre Bourguignon -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9936 Connections, holonomy and path space homology / Kuo Tsai Chen -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0440540 Spin fibrations over manifolds and generalised twistors / A. Crumeyrolle -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0440474 Local convex deformations of Ricci and sectional curvature on compact manifolds / Paul Ewing Ehrlich -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0383315 Transgressions, Chern-Simons invariants and the classical groups / James L. Heitsch and H. Blaine Lawson, Jr. -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9935 A class of compact manifolds with positive Ricci curvature / Horacio Hern�andez-Andrade -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0380668 Tangent bundles with Sasaki metric / Mu Chou Liu -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0420510 Curvature and critical Riemannian metric / Yosio Mut�o -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9934 Axioms for the Euler characteristic / Howard Osborn -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9933 Riemannian manifolds without conjugate points / John J O'Sullivan -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9932 Local and global properties of convex sets in Riemannian spaces / Rolf Walter -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9931 On the volume of manifolds all of whose geodesics are closed / Alan Weinstein -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9930 On a generalization of the catenoid / David E. Blair -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9929 Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space / Thomas E. Cecil -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377768 Mean curvature vector of a submanifold / Bang-yen Chen -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377769 Geometry of submanifolds of euclidean spaces / Robert B. Gardner -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0380680 The Hopf conjecture concerning surfaces in $E^3$ / S. I. Goldberg -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9928 Relative Chern-Lashof theorems / Nathaniel Grossman -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9927 A Sobolev inequality for Riemannian submanifolds / David Hoffman and Joel Spruck -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377771 Minimal varieties / H. Blaine Lawson, Jr. -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0380597 On a holomorphic analogue of vanishing normal scalar curvature / Gerald D. Ludden and Koichi Ogiue -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377784 Complete, open surfaces in $E^3$ / Tilla Klotz Milnor -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0380636 Minimal varieties in tori / Tadashi Nagano and Brian Smyth -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0417993 �Elie Cartan's work on isoparametric families of hypersurfaces / Katsumi Nomizu -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0423260 On Kaehler submanifolds / Koichi Ogiue -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377786 Isoperimetric and related inequalitites / Robert Osserman -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0385686 Minimal submanifolds with $m$-index $2$ / Tominosuke �Otsuki -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0390975 A problem of Ordnungsgeometrie / William F. Pohl -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0383326 On the Hessian of a function and the curvatures of its graph / Robert C. Reilly -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9926 Pairs of metrics on parallel hypersurfaces and ovaloids / Donald H. Singley -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0390979 Some left-over problems from classical differential geometry / Michael Spivak -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0420516 Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor / Kentaro Yano -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9925 On the de Rham complex of $B\widehat {\Gamma }$ / B. Cenkl -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0385884 Locally free Lie transformation groups of codimension two / Lawrence Conlon -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0375344 On compact foliations / K. deCesare and T. Nagano -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377924 Semisimplicial Weil algebras and characteristic classes for foliated bundles in �Cech cohomology / Franz W. Kamber and Philippe Tondeur -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0385886 Line fields transversal to foliations / Ulrich Koschorke -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0383429 Classifying spaces for Riemannian foliations / Joel Pasternack -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377929 Codimension one plane fields and foliations / Paul A. Schweitzer, S. J. -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/9924 The double complex of $\Gamma _k$ / Herbert Shulman -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0375308 A local construction of foliations for three-manifolds / William P. Thurston -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0380828 The theory of foliations of codimension greater than one / William P. Thurston -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0375345 Locally free actions and Stiefel-Whitney numbers / H. E. Winkelnkemper -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0375353 Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds / Thomas F. Banchoff -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0377921 Axioms for characteristic classes of manifolds / John D. Blanton and Paul A. Schweitzer, S. J. -- http://www.ams.org/pspum/027.1 http://dx.doi.org/10.1090/pspum/027.1/0375339

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"Final versions of talks given at the AMS Summer Research Institute on Differential Geometry."

Includes bibliographies and indexes.

D�eformations localement triviales des vari�et�es Riemanniennes / L. B�erard-Bergery, J. P. Bourguignon and J. Lafontaine -- Some constructions related to H. Hopf's conjecture on product manifolds / Jean Pierre Bourguignon -- Connections, holonomy and path space homology / Kuo Tsai Chen -- Spin fibrations over manifolds and generalised twistors / A. Crumeyrolle -- Local convex deformations of Ricci and sectional curvature on compact manifolds / Paul Ewing Ehrlich -- Transgressions, Chern-Simons invariants and the classical groups / James L. Heitsch and H. Blaine Lawson, Jr. -- A class of compact manifolds with positive Ricci curvature / Horacio Hern�andez-Andrade -- Tangent bundles with Sasaki metric / Mu Chou Liu -- Curvature and critical Riemannian metric / Yosio Mut�o -- Axioms for the Euler characteristic / Howard Osborn -- Riemannian manifolds without conjugate points / John J O'Sullivan -- Local and global properties of convex sets in Riemannian spaces / Rolf Walter -- On the volume of manifolds all of whose geodesics are closed / Alan Weinstein -- On a generalization of the catenoid / David E. Blair -- Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space / Thomas E. Cecil -- Mean curvature vector of a submanifold / Bang-yen Chen -- Geometry of submanifolds of euclidean spaces / Robert B. Gardner -- The Hopf conjecture concerning surfaces in $E^3$ / S. I. Goldberg -- Relative Chern-Lashof theorems / Nathaniel Grossman -- A Sobolev inequality for Riemannian submanifolds / David Hoffman and Joel Spruck -- Minimal varieties / H. Blaine Lawson, Jr. -- On a holomorphic analogue of vanishing normal scalar curvature / Gerald D. Ludden and Koichi Ogiue -- Complete, open surfaces in $E^3$ / Tilla Klotz Milnor -- Minimal varieties in tori / Tadashi Nagano and Brian Smyth -- �Elie Cartan's work on isoparametric families of hypersurfaces / Katsumi Nomizu -- On Kaehler submanifolds / Koichi Ogiue -- Isoperimetric and related inequalitites / Robert Osserman -- Minimal submanifolds with $m$-index $2$ / Tominosuke �Otsuki -- A problem of Ordnungsgeometrie / William F. Pohl -- On the Hessian of a function and the curvatures of its graph / Robert C. Reilly -- Pairs of metrics on parallel hypersurfaces and ovaloids / Donald H. Singley -- Some left-over problems from classical differential geometry / Michael Spivak -- Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor / Kentaro Yano -- On the de Rham complex of $B\widehat {\Gamma }$ / B. Cenkl -- Locally free Lie transformation groups of codimension two / Lawrence Conlon -- On compact foliations / K. deCesare and T. Nagano -- Semisimplicial Weil algebras and characteristic classes for foliated bundles in �Cech cohomology / Franz W. Kamber and Philippe Tondeur -- Line fields transversal to foliations / Ulrich Koschorke -- Classifying spaces for Riemannian foliations / Joel Pasternack -- Codimension one plane fields and foliations / Paul A. Schweitzer, S. J. -- The double complex of $\Gamma _k$ / Herbert Shulman -- A local construction of foliations for three-manifolds / William P. Thurston -- The theory of foliations of codimension greater than one / William P. Thurston -- Locally free actions and Stiefel-Whitney numbers / H. E. Winkelnkemper -- Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds / Thomas F. Banchoff -- Axioms for characteristic classes of manifolds / John D. Blanton and Paul A. Schweitzer, S. J. --