Curvature and Betti Numbers

Curvature and Betti Numbers

Author: Salomon Trust

Publisher: Princeton University Press

Published: 1954-01-20

Total Pages: 206

ISBN-13: 9780691095837

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The description for this book, Curvature and Betti Numbers. (AM-32), Volume 32, will be forthcoming.


Curvature and Homology

Curvature and Homology

Author: Samuel I. Goldberg

Publisher: Courier Corporation

Published: 1998-01-01

Total Pages: 417

ISBN-13: 048640207X

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This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." — Nature. 1962 edition.


Handbook of Differential Geometry

Handbook of Differential Geometry

Author: Franki J.E. Dillen

Publisher: Elsevier

Published: 2005-11-29

Total Pages: 575

ISBN-13: 0080461204

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In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas.. Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics


Comparison Geometry

Comparison Geometry

Author: Karsten Grove

Publisher: Cambridge University Press

Published: 1997-05-13

Total Pages: 280

ISBN-13: 9780521592222

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This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.