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Recent Developments in Geometry
 
Recent Developments in Geometry
eBook ISBN:  978-0-8218-7689-3
Product Code:  CONM/101.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Recent Developments in Geometry
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Recent Developments in Geometry
eBook ISBN:  978-0-8218-7689-3
Product Code:  CONM/101.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1011990; 338 pp
    MSC: Primary 32; 53; 58;

    This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.

  • Table of Contents
     
     
    • Articles
    • Robert E. Greene — Some recent developments in Riemannian geometry [ MR 1034969 ]
    • Robert Brooks — Designer metrics on Riemannian manifolds [ MR 1034970 ]
    • Gerard Walschap — Open manifolds of nonnegative curvature [ MR 1034971 ]
    • S. Walter Wei — An extrinsic average variational method [ MR 1034972 ]
    • Patricio Aviles — The Dirichlet problem and Fatou’s theorem for harmonic mappings on regular domains [ MR 1034973 ]
    • David A. Hoffman — New examples of singly-periodic minimal surfaces and their qualitative behavior [ MR 1034974 ]
    • Vladimir I. Oliker — The Gauss curvature and Minkowski problems in space forms [ MR 1034975 ]
    • Y. Sun Poon — Self-duality, twistor theory, its generalization and application [ MR 1034976 ]
    • Peter B. Gilkey — Spectral geometry of Riemannian manifolds [ MR 1034977 ]
    • Mark A. Pinsky — Eigenvalue asymptotics and their geometric applications [ MR 1034978 ]
    • Richard M. Tse — A lower bound for the number of isospectral surfaces [ MR 1034979 ]
    • Sun-Yung A. Chang and Paul C. Yang — The conformal deformation equation and isospectral set of conformal metrics [ MR 1034980 ]
    • John Lott — Analytic torsion for group actions [ MR 1034981 ]
    • G. Knieper and H. Weiss — Regularity of entropy for geodesic flows [ MR 1034982 ]
    • Gary R. Jensen and Marco Rigoli — Twistor and Gauss lifts of surfaces in four-manifolds [ MR 1034983 ]
    • Weiqi Gao — Affine differential geometry of complex hypersurfaces [ MR 1034984 ]
    • Kang-Tae Kim — Domains with noncompact automorphism groups [ MR 1034985 ]
    • Sidney Frankel — Affine approach to complex geometry [ MR 1034986 ]
    • Ngaiming Mok — Compactification of complete Kähler-Einstein manifolds of finite volume [ MR 1034987 ]
    • Stephen S.-T. Yau — Topological type of isolated hypersurface singularities [ MR 1034988 ]
    • T. Duchamp and M. Kalka — Complex foliations [ MR 1034989 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1011990; 338 pp
MSC: Primary 32; 53; 58;

This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.

  • Articles
  • Robert E. Greene — Some recent developments in Riemannian geometry [ MR 1034969 ]
  • Robert Brooks — Designer metrics on Riemannian manifolds [ MR 1034970 ]
  • Gerard Walschap — Open manifolds of nonnegative curvature [ MR 1034971 ]
  • S. Walter Wei — An extrinsic average variational method [ MR 1034972 ]
  • Patricio Aviles — The Dirichlet problem and Fatou’s theorem for harmonic mappings on regular domains [ MR 1034973 ]
  • David A. Hoffman — New examples of singly-periodic minimal surfaces and their qualitative behavior [ MR 1034974 ]
  • Vladimir I. Oliker — The Gauss curvature and Minkowski problems in space forms [ MR 1034975 ]
  • Y. Sun Poon — Self-duality, twistor theory, its generalization and application [ MR 1034976 ]
  • Peter B. Gilkey — Spectral geometry of Riemannian manifolds [ MR 1034977 ]
  • Mark A. Pinsky — Eigenvalue asymptotics and their geometric applications [ MR 1034978 ]
  • Richard M. Tse — A lower bound for the number of isospectral surfaces [ MR 1034979 ]
  • Sun-Yung A. Chang and Paul C. Yang — The conformal deformation equation and isospectral set of conformal metrics [ MR 1034980 ]
  • John Lott — Analytic torsion for group actions [ MR 1034981 ]
  • G. Knieper and H. Weiss — Regularity of entropy for geodesic flows [ MR 1034982 ]
  • Gary R. Jensen and Marco Rigoli — Twistor and Gauss lifts of surfaces in four-manifolds [ MR 1034983 ]
  • Weiqi Gao — Affine differential geometry of complex hypersurfaces [ MR 1034984 ]
  • Kang-Tae Kim — Domains with noncompact automorphism groups [ MR 1034985 ]
  • Sidney Frankel — Affine approach to complex geometry [ MR 1034986 ]
  • Ngaiming Mok — Compactification of complete Kähler-Einstein manifolds of finite volume [ MR 1034987 ]
  • Stephen S.-T. Yau — Topological type of isolated hypersurface singularities [ MR 1034988 ]
  • T. Duchamp and M. Kalka — Complex foliations [ MR 1034989 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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