S.P. Novikov, I.A. Taimanov ; translated by Dmitry Chibisov
[English ed.]
xx, 633 pages :
illustrations ;
27 cm
Graduate studies in mathematics,
v. 71
1065-7339 ;
Includes bibliographical references (pages 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 physics