A New Type of Generalized Para-Kähler Spaces and Holomorphically Projective Transformations
| Autor: | Ljubica S. Velimirović, Miloš Z. Petrović |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Mathematics::Complex Variables 010308 nuclear & particles physics Infinitesimal 010102 general mathematics Curvature 01 natural sciences Tensor field 0103 physical sciences Pharmacology (medical) Covariant transformation Mathematics::Differential Geometry 0101 mathematics Projective test Invariant (mathematics) Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Bulletin of the Iranian Mathematical Society. 45:1021-1043 |
| ISSN: | 1735-8515 1017-060X |
| Popis: | In the present paper, we define a new class of generalized para-Kahler 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-Kahler spaces are pointed out. Also, we consider some tensor fields that are invariant with respect to holomorphically projective mappings of generalized para-Kahler spaces. Finally, we examine some PDE systems for the existence of infinitesimal holomorphically projective transformations of new types of generalized para-Kahler spaces with parallel torsion. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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