Golden GCR-Lightlike Submanifolds of Golden Semi-Riemannian Manifolds
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DOI: 10.1007/s00009-020-01567-7
Abstract: We introduce golden GCR-lightlike submanifolds of golden semi-Riemannian manifolds. We investigate several properties of such submanifolds. Moreover, we find some necessary and sufficient conditions for minimal golden GCR-lightlike submanifolds of golden semi-Riemannian manifolds. read more here.
Keywords: semi riemannian; submanifolds golden; golden semi; gcr lightlike ... See more keywords
Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity
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DOI: 10.1007/s00205-021-01655-2
Abstract: We are concerned with the global weak continuity of the Cartan structural system $-$ or equivalently, the Gauss-Codazzi-Ricci system $-$ on semi-Riemannian manifolds with lower regularity. For this purpose, we first formulate and prove a… read more here.
Keywords: weak continuity; system; semi riemannian; structural system ... See more keywords
A fundamental theorem for submanifolds in semi-Riemannian warped products
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DOI: 10.1016/j.geomphys.2019.05.013
Abstract: In this paper we find necessary and sufficient conditions for a nondegenerate arbitrary signature manifold $M^n$ to be realized as a submanifold in the large class of warped product manifolds $\varepsilon I\times_a\mathbb{M}^{N}_{\lambda}(c)$, where $\varepsilon=\pm 1,\… read more here.
Keywords: semi riemannian; mathbb lambda; theorem submanifolds; times mathbb ... See more keywords
Doppler shift in semi-Riemannian signature and the non-uniqueness of the Krein space of spinors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5080525
Abstract: We give examples illustrating the fact that the different space/time splittings of the tangent bundle of a semi-Riemannian spin manifold give rise to non-equivalent norms on the space of compactly supported sections of the spinor… read more here.
Keywords: semi riemannian; doppler shift; space; shift semi ... See more keywords
Almost pseudo-Q-symmetric semi-Riemannian manifolds
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DOI: 10.1142/s0219887818501177
Abstract: The object of the present paper is to study almost pseudo-Q-symmetric manifolds A(PQS)n. Some geometric properties have been studied which recover some known results of pseudo Q-symmetric manifolds... read more here.
Keywords: pseudo symmetric; semi riemannian; riemannian manifolds; symmetric semi ... See more keywords
Lightlike hypersurfaces of metallic semi-Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887818502018
Abstract: In our paper, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on an invariant lightlike hypersurface is… read more here.
Keywords: invariant lightlike; semi riemannian; metallic semi; lightlike hypersurfaces ... See more keywords
Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds
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DOI: 10.3390/sym15010077
Abstract: The main purpose of this paper is to investigate lightlike hypersurfaces of almost productlike semi-Riemannian manifolds. For this purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant lightlike hypersurfaces of almost productlike semi-Riemannian manifolds are introduced and some… read more here.
Keywords: almost productlike; lightlike hypersurfaces; productlike semi; semi riemannian ... See more keywords