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Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces

  • Miloš Z. PetrovićEmail author
Article
  • 60 Downloads

Abstract

We deal with almost geodesic lines of manifolds with non-symmetric linear connection. Also, we consider special almost geodesic mappings of the second type between Eisenhart’s generalized Riemannian spaces as well as between generalized classical (elliptic) and hyperbolic Kähler spaces. These mappings are generalizations of holomorphically projective mappings between generalized classical and hyperbolic Kähler spaces. We prove some existence theorems for special almost geodesic mappings of the second type between generalized Riemannian spaces as well as between generalized classical and hyperbolic Kähler spaces. Finally, we find some invariant geometric objects with respect to these mappings.

Keywords

Generalized Riemannian space Special almost geodesic mapping of the second type Curvature tensor Invariant geometric object 

Mathematics Subject Classification

Primary 53B05 Secondary 53B20 53C15 

Notes

Acknowledgements

This work was supported by Grant No. 174012 of the Ministry of Education, Science and Technological Development, Republic of Serbia.

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Sciences and MathematicsUniversity of NišNišSerbia

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