Differential Geometry of Special Mappings
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Olomouc: Palacký University
Abstract
During the last 50 years, many new and interesting results have appeared in the
theory of conformal, geodesic, holomorphically projective, F-planar and others
mappings and transformations of manifolds with affine connection, Riemannian,
K¨ahler and Riemann-Finsler manifolds. The authors dedicate the present
monograph to the exposition of this topic. We give the basic concepts of the theory of manifolds with affine connection,
Riemannian, K¨ahlerian and Riemann-Finsler manifolds, using the notation
from.
Unless otherwise stated, the investigations are carried out in tensor form,
locally, in the class of sufficiently smooth real functions. The dimension n of
the spaces under consideration is supposed to be higher than two, as a rule.
This fact is not explicitly stipulated in the text. All the spaces are assumed to
be connected. Under Riemannian manifolds we mean both positive as well as
pseudo-Riemannian manifolds.
Description
Keywords
topological spaces, affine connection, Riemannian, Kahler, manifold, endomorphisms, geodesic mappings, transformations
Citation
Differential Geometry of Special Mappings / [Josef Mikeš, Elena Stepanova, Vladimir E. Berezovski et al.]. - Olomouc: Palacký University, 2015. - 567 p.