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Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene
 
Edited by: John Bland University of Toronto, Toronto, ON, Canada
Kang-Tae Kim Pohang University of Science & Technology, Pohang, Korea
Steven G. Krantz Washington University, St. Louis, MO
Explorations in Complex and Riemannian Geometry
eBook ISBN:  978-0-8218-7922-1
Product Code:  CONM/332.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Explorations in Complex and Riemannian Geometry
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Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene
Edited by: John Bland University of Toronto, Toronto, ON, Canada
Kang-Tae Kim Pohang University of Science & Technology, Pohang, Korea
Steven G. Krantz Washington University, St. Louis, MO
eBook ISBN:  978-0-8218-7922-1
Product Code:  CONM/332.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3322003; 325 pp
    MSC: Primary 32; 53

    This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research.

    The material is intended for researchers and graduate students interested in several complex variables and complex geometry.

    Readership

    Graduate students and research mathematicians interested in several complex variables and complex geometry.

  • Table of Contents
     
     
    • Articles
    • Bo Berndtsson — Bergman kernels related to Hermitian line bundles over compact complex manifolds [ MR 2016088 ]
    • John P. D’Angelo — A gentle introduction to points of finite type on real hypersurfaces [ MR 2016089 ]
    • Patrick Eberlein — The moduli space of 2-step nilpotent Lie algebras of type $(p,q)$ [ MR 2016090 ]
    • Franc Forstnerič — The homotopy principle in complex analysis: a survey [ MR 2016091 ]
    • Karsten Grove — Finiteness theorems in Riemannian geometry [ MR 2018334 ]
    • Yoe Itokawa, Yoshiroh Machigashira and Katsuhiro Shiohama — Generalized Toponogov’s theorem for manifolds with radial curvature bounded below [ MR 2018335 ]
    • Howard Jacobowitz — The global isometric embedding problem [ MR 2018336 ]
    • Kang-Tae Kim and Steven G. Krantz — The Bergman metric invariants and their boundary behavior [ MR 2018337 ]
    • Shoshichi Kobayashi — Natural connections in almost complex manifolds [ MR 2018338 ]
    • Shrawan Kumar, Bernhard Leeb and John Millson — The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type [ MR 2018339 ]
    • Jeffery D. McNeal — Subelliptic estimates and scaling in the $\overline \partial $-Neumann problem [ MR 2018340 ]
    • Ngaiming Mok — Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups [ MR 2018341 ]
    • Takeo Ohsawa — On the extension of $L^2$ holomorphic functions. VI. A limiting case [ MR 2018342 ]
    • Peter Petersen — Variations on a theme of Synge [ MR 2018343 ]
    • Linda Preiss Rothschild — Mappings between real submanifolds in complex space [ MR 2018344 ]
    • Bernard Shiffman, Tatsuya Tate and Steve Zelditch — Harmonic analysis on toric varieties [ MR 2018345 ]
    • B. Wong — On complex manifolds with noncompact automorphism groups [ MR 2018346 ]
    • Hung-Hsi Wu and Fangyang Zheng — Kähler manifolds with slightly positive bisectional curvature [ MR 2018347 ]
  • 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: 3322003; 325 pp
MSC: Primary 32; 53

This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research.

The material is intended for researchers and graduate students interested in several complex variables and complex geometry.

Readership

Graduate students and research mathematicians interested in several complex variables and complex geometry.

  • Articles
  • Bo Berndtsson — Bergman kernels related to Hermitian line bundles over compact complex manifolds [ MR 2016088 ]
  • John P. D’Angelo — A gentle introduction to points of finite type on real hypersurfaces [ MR 2016089 ]
  • Patrick Eberlein — The moduli space of 2-step nilpotent Lie algebras of type $(p,q)$ [ MR 2016090 ]
  • Franc Forstnerič — The homotopy principle in complex analysis: a survey [ MR 2016091 ]
  • Karsten Grove — Finiteness theorems in Riemannian geometry [ MR 2018334 ]
  • Yoe Itokawa, Yoshiroh Machigashira and Katsuhiro Shiohama — Generalized Toponogov’s theorem for manifolds with radial curvature bounded below [ MR 2018335 ]
  • Howard Jacobowitz — The global isometric embedding problem [ MR 2018336 ]
  • Kang-Tae Kim and Steven G. Krantz — The Bergman metric invariants and their boundary behavior [ MR 2018337 ]
  • Shoshichi Kobayashi — Natural connections in almost complex manifolds [ MR 2018338 ]
  • Shrawan Kumar, Bernhard Leeb and John Millson — The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type [ MR 2018339 ]
  • Jeffery D. McNeal — Subelliptic estimates and scaling in the $\overline \partial $-Neumann problem [ MR 2018340 ]
  • Ngaiming Mok — Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups [ MR 2018341 ]
  • Takeo Ohsawa — On the extension of $L^2$ holomorphic functions. VI. A limiting case [ MR 2018342 ]
  • Peter Petersen — Variations on a theme of Synge [ MR 2018343 ]
  • Linda Preiss Rothschild — Mappings between real submanifolds in complex space [ MR 2018344 ]
  • Bernard Shiffman, Tatsuya Tate and Steve Zelditch — Harmonic analysis on toric varieties [ MR 2018345 ]
  • B. Wong — On complex manifolds with noncompact automorphism groups [ MR 2018346 ]
  • Hung-Hsi Wu and Fangyang Zheng — Kähler manifolds with slightly positive bisectional curvature [ MR 2018347 ]
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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