On equitorsion geodesic mappings of general affine connection spaces onto generalized Riemannian spaces

✍ Scribed by Milan Lj. Zlatanović

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 258 KB
• Volume: 24
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2010.12.003

✦ Synopsis

In the papers , [16], several Ricci type identities are obtained by using non-symmetric affine connection. Four kinds of covariant derivatives appear in these identities.

In the present work, we consider equitorsion geodesic mappings f of two spaces GA N and GR N , where GR N has a non-symmetric metric tensor, i.e. we study the case when GA N and GR N have the same torsion tensors at corresponding points. Such a mapping is called an equitorsion mapping Minčić (1997) [12], Stanković et al. (2010) [14], Stanković (in press) .

The existence of a mapping of such type implies the existence of a solution of the fundamental equations. We find several forms of these fundamental equations. Among these forms a particularly important form is system of partial differential equations of Cauchy type.