Novikov, Sergei Petrovich

Modern geometric structures and fields/ S.P. Novikov, I.A. Taimanov ; translated by Dmitry Chibisov. - [English ed.]. - Providence, R.I.: American Mathematical Society, c2006. - xx, 633 p.: ill.; 27 cm. - Graduate studies in mathematics; v. 71, 1065-7339. .

Includes bibliographical references (p. 621-624) and index.

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 physi .

0821839292 (alk. paper) 9780821839294

2006047704


Geometry, Riemannian.
Differentiable manifolds.
Riemann, géométrie de.
Variétés différentiables.

516.37 / N943m