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Differential Geometry, Part 2

About this Title

S. S. Chern and R. Osserman, Editors

Publication: Proceedings of Symposia in Pure Mathematics
Publication Year: 1975; Volume 27.2
ISBNs: 978-0-8218-0248-9 (print); 978-0-8218-9314-2 (online)
DOI: https://doi.org/10.1090/pspum/027.2

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Table of Contents

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Front/Back Matter

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Complex differential geometry

• Paul Baum – Riemann-Roch theorem for singular varieties [MR 0389907]
• E. Calabi – A construction of nonhomogeneous Einstein metrics [MR 0379912]
• S. I. Goldberg and T. Ishihara – Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings
• Mark L. Green – Holomorphic mappings to Grassmannians of lines [MR 0385176]
• R. E. Greene and H. Wu – Some function-theoretic properties of noncompact Kähler manifolds [MR 0379898]
• Phillip A. Griffiths – Differential geometry and complex analysis [MR 0399521]
• Nigel Hitchin – On the curvature of rational surfaces [MR 0400127]
• L. R. Hunt and R. O. Wells, Jr. – Holomorphic extension for nongeneric CR-submanifolds [MR 0385167]
• Peter Kiernan – Holomorphic extension theorem
• James R. King – Residues and Chern classes [MR 0396996]
• Myung H. Kwack – Some classical theorems for holomorphic mappings into hyperbolic manifolds [MR 0486657]
• Richard S. Millman – Some results in $f$-structures motivated by the Cousin problem [MR 0380663]
• Jürgen Moser – Holomorphic equivalence and normal forms of hypersurfaces [MR 0435439]
• Takushiro Ochiai – On compact Kähler manifolds with positive holomorphic bisectional curvature [MR 0380691]

Partial differential equations

• J. L. Barbosa and M. do Carmo – On the size of a stable minimal surface in $R^3$
• M. Berger – Geometry of the spectrum. I [MR 0383459]
• Melvyn S. Berger – Constant scalar curvature metrics for complex manifolds [MR 0410612]
• M. Cantor – Sobolev inequalities for Riemannian bundles [MR 0380873]
• Shiu Yuen Cheng – Eigenfunctions and eigenvalues of Laplacian [MR 0378003]
• Harold Donnelly – Minakshisundaram’s coefficients on Kaehler manifolds
• J. J. Duistermaat and V. W. Guillemin – The spectrum of positive elliptic operators and periodic geodesics [MR 0423438]
• James Eells – Random walk on the fundamental group [MR 0377789]
• Arthur E. Fischer and Jerrold E. Marsden – Linearization stability of nonlinear partial differential equations [MR 0383456]
• Peter B. Gilkey – The spectral geometry of real and complex manifolds [MR 0388466]
• Peter B. Gilkey and Jonathan Sacks – Spectral geometry and manifolds of constant holomorphic sectional curvature [MR 0380902]
• R. E. Greene and H. Wu – Whitney’s imbedding theorem by solutions of elliptic equations and geometric consequences [MR 0407908]
• V. Guillemin and D. Schaeffer – Fourier integral operators from the Radon transform point of view [MR 0380520]
• C. Denson Hill – A hierarchy of nonsolvability examples [MR 0425376]
• H. Jacobowitz – Extending isometric embeddings
• Jerry L. Kazdan and F. W. Warner – Prescribing curvatures [MR 0394505]
• Bohdan Lawruk – On symplectic relations in partial differential equations [MR 0377984]
• Tominosuke Otsuki – On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold $O^2_n$
• David G. Schaeffer – Singularities and the obstacle problem [MR 0470473]
• R. T. Smith – Harmonic mappings of sphere
• Nancy K. Stanton – Holomorphic $R$-torsion for Lie groups

Homogeneous spaces

• I. Chavel and E. Feldman – The first eigenvalue of the Laplacian on manifolds of nonnegative curvature
• Leon W. Green – The generalized geodesic flow
• Sigurdur Helgason – The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility [MR 0376961]
• Hon-Fei Lai – The cohomology ring of $SO(2n + 2)/SO(2) \times SO(2n)$ and some geometrical applications
• Josephine Mitchell – Representations of linear functionals on $H^p$ spaces over bounded homogeneous domains in $C^N$ $(N > 1)$ [MR 0379913]
• Morio Obata – Noncompact Riemannian manifolds admitting a transitive group of conformorphisms
• V. Ozols – Critical sets of isometries [MR 0383306]
• Joseph A. Wolf – Partial spin structures and induced representations of Lie groups [MR 0492082]

Relativity

• George Debney – Einstein-Maxwell theory and the structure equations [MR 0384045]
• F. J. Flaherty – Lorentzian manifolds of nonpositive curvature [MR 0643822]
• Robert Geroch – General relativity [MR 0378703]
• A. H. Taub – Gravitational waves and averaged Lagrangians [MR 0384040]
• John A. Thorpe – Gravitational collapse [MR 0381631]