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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| container_title | Filomat |
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| creator | Hazra, Dipankar De, Chand Shenawy, Sameh Syied, Abdallah Abdelhameed |
| description | 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. |
| doi_str_mv | 10.2298/FIL2308465H |
| format | Article |
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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
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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
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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.</abstract><doi>10.2298/FIL2308465H</doi><tpages>18</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Filomat, 2023, Vol.37 (8), p.2465-2482 |
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| language | eng |
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| source | JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals |
| title | Some geometric and physical properties of pseudo m-projective symmetric manifolds |
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