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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. 27.2Publication details: Providence, R.I. : American Mathematical Society, 1975Description: 1 online resource (2 v. : ill.)ISBN: 9780821893142 (online)Subject(s): Geometry, Differential -- CongressesAdditional physical formats: Differential geometry :DDC classification: 516/.36 LOC classification: QA641 | .S88 1973Online resources: Contents | Contents

Partial contents:

Riemann-Roch theorem for singular varieties / Paul Baum -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0389907 A construction of nonhomogeneous Einstein metrics / E. Calabi -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0379912 Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings / S. I. Goldberg and T. Ishihara -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9919 Holomorphic mappings to Grassmannians of lines / Mark L. Green -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0385176 Some function-theoretic properties of noncompact K�ahler manifolds / R. E. Greene and H. Wu -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0379898 Differential geometry and complex analysis / Phillip A. Griffiths -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0399521 On the curvature of rational surfaces / Nigel Hitchin -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0400127 Holomorphic extension for nongeneric CR-submanifolds / L. R. Hunt and R. O. Wells, Jr. -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0385167 Holomorphic extension theorem / Peter Kiernan -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9918 Residues and Chern classes / James R. King -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0396996 Some classical theorems for holomorphic mappings into hyperbolic manifolds / Myung H. Kwack -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0486657 Some results in $f$-structures motivated by the Cousin problem / Richard S. Millman -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0380663 Holomorphic equivalence and normal forms of hypersurfaces / J�urgen Moser -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0435439 On compact K�ahler manifolds with positive holomorphic bisectional curvature / Takushiro Ochiai -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0380691 On the size of a stable minimal surface in $R^3$ / J. L. Barbosa and M. do Carmo -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9917 Geometry of the spectrum. I / M. Berger -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0383459 Constant scalar curvature metrics for complex manifolds / Melvyn S. Berger -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0410612 Sobolev inequalities for Riemannian bundles / M. Cantor -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0380873 Eigenfunctions and eigenvalues of Laplacian / Shiu Yuen Cheng -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0378003 Minakshisundaram's coefficients on Kaehler manifolds / Harold Donnelly -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9916 The spectrum of positive elliptic operators and periodic geodesics / J. J. Duistermaat and V. W. Guillemin -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0423438 Random walk on the fundamental group / James Eells -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0377789 Linearization stability of nonlinear partial differential equations / Arthur E. Fischer and Jerrold E. Marsden -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0383456 The spectral geometry of real and complex manifolds / Peter B. Gilkey -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0388466 Spectral geometry and manifolds of constant holomorphic sectional curvature / Peter B. Gilkey and Jonathan Sacks -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0380902 Whitney's imbedding theorem by solutions of elliptic equations and geometric consequences / R. E. Greene and H. Wu -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0407908 Fourier integral operators from the Radon transform point of view / V. Guillemin and D. Schaeffer -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0380520 A hierarchy of nonsolvability examples / C. Denson Hill -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0425376 Extending isometric embeddings / H. Jacobowitz -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9915 Prescribing curvatures / Jerry L. Kazdan and F. W. Warner -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0394505 On symplectic relations in partial differential equations / Bohdan Lawruk -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0377984 On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold $O^2_n$ / Tominosuke Otsuki -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9914 Singularities and the obstacle problem / David G. Schaeffer -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0470473 Harmonic mappings of sphere / R. T. Smith -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9913 Holomorphic $R$-torsion for Lie groups / Nancy K. Stanton -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9912 The first eigenvalue of the Laplacian on manifolds of nonnegative curvature / I. Chavel and E. Feldman -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9911 The generalized geodesic flow / Leon W. Green -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9910 The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility / Sigurdur Helgason -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0376961 The cohomology ring of $\mathit {SO}(2n + 2)/\mathit {SO}(2) \times \mathit {SO}(2n)$ and some geometrical applications / Hon-Fei Lai -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9909 Representations of linear functionals on $H^p$ spaces over bounded homogeneous domains in $C^N$ $(N > 1)$ / Josephine Mitchell -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0379913 Noncompact Riemannian manifolds admitting a transitive group of conformorphisms / Morio Obata -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/9908 Critical sets of isometries / V. Ozols -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0383306 Partial spin structures and induced representations of Lie groups / Joseph A. Wolf -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0492082 Einstein-Maxwell theory and the structure equations / George Debney -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0384045 Lorentzian manifolds of nonpositive curvature / F. J. Flaherty -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0643822 General relativity / Robert Geroch -- http://www.ams.org/pspum/027.2 http://dx.doi.org/10.1090/pspum/027.2/0378703

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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"Final versions of talks given at the AMS Summer Research Institute on Differential Geometry."

Includes bibliographies and indexes.

Riemann-Roch theorem for singular varieties / Paul Baum -- A construction of nonhomogeneous Einstein metrics / E. Calabi -- Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings / S. I. Goldberg and T. Ishihara -- Holomorphic mappings to Grassmannians of lines / Mark L. Green -- Some function-theoretic properties of noncompact K�ahler manifolds / R. E. Greene and H. Wu -- Differential geometry and complex analysis / Phillip A. Griffiths -- On the curvature of rational surfaces / Nigel Hitchin -- Holomorphic extension for nongeneric CR-submanifolds / L. R. Hunt and R. O. Wells, Jr. -- Holomorphic extension theorem / Peter Kiernan -- Residues and Chern classes / James R. King -- Some classical theorems for holomorphic mappings into hyperbolic manifolds / Myung H. Kwack -- Some results in $f$-structures motivated by the Cousin problem / Richard S. Millman -- Holomorphic equivalence and normal forms of hypersurfaces / J�urgen Moser -- On compact K�ahler manifolds with positive holomorphic bisectional curvature / Takushiro Ochiai -- On the size of a stable minimal surface in $R^3$ / J. L. Barbosa and M. do Carmo -- Geometry of the spectrum. I / M. Berger -- Constant scalar curvature metrics for complex manifolds / Melvyn S. Berger -- Sobolev inequalities for Riemannian bundles / M. Cantor -- Eigenfunctions and eigenvalues of Laplacian / Shiu Yuen Cheng -- Minakshisundaram's coefficients on Kaehler manifolds / Harold Donnelly -- The spectrum of positive elliptic operators and periodic geodesics / J. J. Duistermaat and V. W. Guillemin -- Random walk on the fundamental group / James Eells -- Linearization stability of nonlinear partial differential equations / Arthur E. Fischer and Jerrold E. Marsden -- The spectral geometry of real and complex manifolds / Peter B. Gilkey -- Spectral geometry and manifolds of constant holomorphic sectional curvature / Peter B. Gilkey and Jonathan Sacks -- Whitney's imbedding theorem by solutions of elliptic equations and geometric consequences / R. E. Greene and H. Wu -- Fourier integral operators from the Radon transform point of view / V. Guillemin and D. Schaeffer -- A hierarchy of nonsolvability examples / C. Denson Hill -- Extending isometric embeddings / H. Jacobowitz -- Prescribing curvatures / Jerry L. Kazdan and F. W. Warner -- On symplectic relations in partial differential equations / Bohdan Lawruk -- On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold $O^2_n$ / Tominosuke Otsuki -- Singularities and the obstacle problem / David G. Schaeffer -- Harmonic mappings of sphere / R. T. Smith -- Holomorphic $R$-torsion for Lie groups / Nancy K. Stanton -- The first eigenvalue of the Laplacian on manifolds of nonnegative curvature / I. Chavel and E. Feldman -- The generalized geodesic flow / Leon W. Green -- The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility / Sigurdur Helgason -- The cohomology ring of $\mathit {SO}(2n + 2)/\mathit {SO}(2) \times \mathit {SO}(2n)$ and some geometrical applications / Hon-Fei Lai -- Representations of linear functionals on $H^p$ spaces over bounded homogeneous domains in $C^N$ $(N > 1)$ / Josephine Mitchell -- Noncompact Riemannian manifolds admitting a transitive group of conformorphisms / Morio Obata -- Critical sets of isometries / V. Ozols -- Partial spin structures and induced representations of Lie groups / Joseph A. Wolf -- Einstein-Maxwell theory and the structure equations / George Debney -- Lorentzian manifolds of nonpositive curvature / F. J. Flaherty -- General relativity / Robert Geroch --