Description

Book Synopsis
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds. This book unifies Riemannian geometry with modern complex analysis, as well as with algebra and number theory.

Table of Contents
Cartesian spaces and Euclidean geometry Symplectic and pseudo-Euclidean spaces Geometry of two-dimensional manifolds Complex analysis in the theory of surfaces Smooth manifolds Groups of motions Tensor algebra Tensor fields in analysis Analysis of differential forms Connections and curvature Conformal and complex geometries Morse theory and Hamiltonian formalism Poisson and Lagrange manifolds Multidimensional variational problems Geometric fields in physics Bibliography Index.

Modern Geometric Structures and Fields

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    A Hardback by I.s. Novikov, I.A. Taimanov

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 11/30/2006 12:00:00 AM
      ISBN13: 9780821839294, 978-0821839294
      ISBN10: 0821839292

      Description

      Book Synopsis
      Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds. This book unifies Riemannian geometry with modern complex analysis, as well as with algebra and number theory.

      Table of Contents
      Cartesian spaces and Euclidean geometry Symplectic and pseudo-Euclidean spaces Geometry of two-dimensional manifolds Complex analysis in the theory of surfaces Smooth manifolds Groups of motions Tensor algebra Tensor fields in analysis Analysis of differential forms Connections and curvature Conformal and complex geometries Morse theory and Hamiltonian formalism Poisson and Lagrange manifolds Multidimensional variational problems Geometric fields in physics Bibliography Index.

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