Some geometric and physical properties of pseudo m-projective symmetric manifolds
In this study we introduce a new tensor in a semi-Riemannian manifold, named the M*-projective curvature tensor which generalizes the m-projective curvature tensor. We start by deducing some fundamental geometric properties of the M*-projective curvature tensor. After that, we study pseudo M*-projec...
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Veröffentlicht in: | Filomat 2023, Vol.37 (8), p.2465-2482 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this study we introduce a new tensor in a semi-Riemannian manifold, named
the M*-projective curvature tensor which generalizes the m-projective
curvature tensor. We start by deducing some fundamental geometric properties
of the M*-projective curvature tensor. After that, we study pseudo
M*-projective symmetric manifolds (PM?S)n. A non-trivial example has been
used to show the existence of such a manifold. We introduce a series of
interesting conclusions. We establish, among other things, that if the
scalar curvature ? is non-zero, the associated 1-form is closed for a
(PM?S)n with divM* = 0. We also deal with pseudo M*-projective symmetric
spacetimes, M*-projectively flat perfect fluid spacetimes, and
M*-projectively flat viscous fluid spacetimes. As a result, we establish
some significant theorems. |
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ISSN: | 0354-5180 2406-0933 |
DOI: | 10.2298/FIL2308465H |