Slant Riemannian maps from an almost contact manifold

Prasad, Rajendra; Pandey, Shashikant

doi:10.2298/fil1713999p

Cited by 13 publications

(4 citation statements)

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“…Moreover, Şahin introduced many types of Riemannian maps ( [7][8][9][10][11][12]; see also [13][14][15][16][17][18]). One may consult the references [19][20][21] for further studies.…”

Section: Introductionmentioning

confidence: 99%

V-Quasi-Bi-Slant Riemannian Maps

et al. 2022

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In this work, we define a v-quasi-bi-slant Riemannian map (in brief, v-QBSR map) from almost Hermitian manifolds to Riemannian manifolds. This notion generalizes both a v-hemi slant Riemannian map and a v-semi slant Riemannian map. The geometry of leaves of distributions that are associated with the definition of such maps is studied. The conditions for v-QBSR maps to be integrable and totally geodesic are also obtained in the paper. Finally, we provide the examples of v-QBSR maps.

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“…Moreover, Şahin introduced many types of Riemannian maps ( [7][8][9][10][11][12]; see also [13][14][15][16][17][18]). One may consult the references [19][20][21] for further studies.…”

Section: Introductionmentioning

confidence: 99%

V-Quasi-Bi-Slant Riemannian Maps

et al. 2022

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“…It is also important to note that Riemannian maps satisfy the eikonal equation which is a bridge between geometric optics and physical optics. Different properties of Riemannian maps have been studied widely by many authors, see: [4,9,12,14,16]. Recent developments in the theory of Riemannian map can be found in the book [17].…”

Section: Introductionmentioning

confidence: 99%

Remarks on conformal anti-invariant Riemannian maps to cosymplectic manifolds

Gündüzalp

Akyol

2021

Hacettepe Journal of Mathematics and Statistics

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M.A. Akyol and B. Şahin [Conformal anti-invariant Riemannian maps to Kaehler manifolds, U.P.B. Sci. Bull., Series A , Vol. 80, Iss. 4, 2018] defined and studied the notion of conformal anti-invariant Riemannian maps to Kaehler manifolds. In this paper, as a generalization of totally real submanifolds and anti-invariant Riemannian maps, we extend this notion to almost contact metric manifolds. In this manner, we introduce conformal anti-invariant Riemannian maps from Riemannian manifolds to cosymplectic manifolds. In order to guarantee the existence of this notion, we give an non-trivial example, investigate the geometry of foliations which are arisen from the definition of a conformal Riemannian map and obtain decomposition theorems by using the existence of conformal Riemannian maps. Moreover, we investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal anti-invariant Riemannian maps to be totally geodesic. Finally, we study weakly umbilical conformal Riemannian maps and obtain a classification theorem for conformal anti-invariant Riemannian maps.

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“…In 2013, B. Sahin introduced and studied the notion of slant Riemannian maps from almost Hermitian manifolds into Riemannian manifolds [13]. Further, in 2017, Prasad and Pandey introduced the concept of slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds [16].…”

Section: Introductionmentioning

confidence: 99%

Semi-slant Riemannian maps from cosymplectic manifolds into Riemannian manifolds

Kumar

Prasad

2020

GJOM

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In this paper we study semi-slant Riemannian maps from Cosymplectic manifolds into Riemannian manifolds. Several fundamental results on integrability of distributions and geometry of foliations are proved for such maps. Also we find the conditions for Riemannian maps to be totally geodesic and investigate some decomposition theorems. Finally, we give some examples of semi-slant Riemannian maps such that the characteristic vector field ξ is either vertical or horizontal.

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Slant Riemannian maps from an almost contact manifold

Cited by 13 publications

References 14 publications

V-Quasi-Bi-Slant Riemannian Maps

V-Quasi-Bi-Slant Riemannian Maps

Remarks on conformal anti-invariant Riemannian maps to cosymplectic manifolds

Semi-slant Riemannian maps from cosymplectic manifolds into Riemannian manifolds

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