EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 67(81), pp. 92--102 (2000)

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New special geodesic mappings of generalized Riemannian spaces

Mi\'ca S. Stankovi\'c and Svetislav Min\v ci\'c

Filozofski fakultet, Nis, Yugoslavia

Abstract: We define $\underset\theta\to R$-projective geodesic mappings $(\theta=1,\dots,5)$ of two generalized Riemannian spaces and obtain some invariant geometric objects of these mappings, generalizing Weyl's tensor. Also, we define $\underset\theta\to R$-projectively flat generalized Riemannian spaces $G\overline R_N$ and find necessary conditions for the space $GR_N$ to be $\underset\theta\to R$-projectively flat.

Classification (MSC2000): 53B05

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Electronic fulltext finalized on: 21 Dec 2000. This page was last modified: 16 Nov 2001.

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