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.