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A New Type of Generalized Para-Kähler Spaces and Holomorphically Projective Transformations

  • Miloš Z. PetrovićEmail author
  • Ljubica S. Velimirović
Original Paper
  • 24 Downloads

Abstract

In the present paper, we define a new class of generalized para-Kähler spaces by using two different kinds of covariant derivatives. Some properties of the curvature tensors as well as those of the corresponding Ricci tensors of new generalized para-Kähler spaces are pointed out. Also, we consider some tensor fields that are invariant with respect to holomorphically projective mappings of generalized para-Kähler spaces. Finally, we examine some PDE systems for the existence of infinitesimal holomorphically projective transformations of new types of generalized para-Kähler spaces with parallel torsion.

Keywords

Generalized Riemannian space Generalized para-Kähler space Curvature tensor Infinitesimal holomorphically projective transformation 

Mathematics Subject Classification

Primary 53B05 Secondary 53B20 53B35 

Notes

Acknowledgements

This work was supported by Grant No. 174012 of the Ministry of Education, Science and Technological Development of the Republic of Serbia. The authors are grateful to the anonymous referee for many valuable comments and suggestions that improved readability and overall presentation of the paper.

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Copyright information

© Iranian Mathematical Society 2018

Authors and Affiliations

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

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