In this paper, we introduce the notion of a bi-slant lightlike submanifold of a golden semi-Riema... more In this paper, we introduce the notion of a bi-slant lightlike submanifold of a golden semi-Riemannian manifold. We provide two examples. We give some characterizations about the geometry of such submanifolds.
The purpose of this paper is to study properties of hypersurfaces of a Riemannian manifold equipp... more The purpose of this paper is to study properties of hypersurfaces of a Riemannian manifold equipped with a golden structure. We discuss the necessary and sufficient conditions for a hypersurface to be a golden Riemannian manifold in terms of invariance. The totally geodesics and totally umbilical hypersurfaces in golden Riemannian manifolds are analyzed. Also, we construct an example on hypersurface of the Euclidean space endowed with a golden Riemannian structure.
In this paper, we study an anti-invariant semi-Riemmannian submersions from indefinite almost con... more In this paper, we study an anti-invariant semi-Riemmannian submersions from indefinite almost contact metric manifolds. We obtain, the necessary and sufficient conditions for the characteristics vector filed to be vertical and horizontal. aMoreover, we find the conditions of integrability and hormonicness of this submersion map. Finally, we furnish an example of an anti-invariant semi-Riemannian submersion from indefinite almost contact metric manifold which is indefinite trans-Sasakian manifolds in the present paper.
International Journal of Mathematical Archive, 2013
W e define a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold ... more W e define a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we discuss some properties of semi-symmetric non-metric connection in almost r-paracontact Riemannian manifold and also obtain curvature tensor with respect to semi-symmetric non-metric connections.
International Journal of Analysis and Applications
In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admittin... more In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS). At last by constructing a 5-dimensional non-trivial example we illustrate our result.
In the present paper we study the extended generalized φ-recurrent α-Kenmotsu manifolds and discu... more In the present paper we study the extended generalized φ-recurrent α-Kenmotsu manifolds and discuss its different geometric properties. Among the results established here it is shown that an extended generalized φ-recurrent α-Kenmotsu manifold is an Einstein manifold and the curvature tensor have also been calculated. Finally an example of extended generalized φ-recurrent α-Kenmotsu manifolds have been constructed.
We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and... more We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. We obtain some properties of nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. Further, we find the necessary and sufficient conditions for totally umbilical non-invariant hypersurface with [Formula: see text]-structure of nearly hyperbolic Sasakian manifold to be totally geodesic. We also calculate the second fundamental form of a non-invariant hypersurface of a nearly hyperbolic Sasakian manifold with [Formula: see text]-structure under the condition when f is parallel.
We define the canonical semi-symmetric semi-metric connection in a nearly Kenmotsu manifold and w... more We define the canonical semi-symmetric semi-metric connection in a nearly Kenmotsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with the canonical semi-symmetric semi-metric connection. Moreover, we discuss the integrability of distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection.
Abstract. We define a semi-symmetric metric connection in an almost r-paracontact Riemannian mani... more Abstract. We define a semi-symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invari-ant and anti-invariant hypersurfaces of an almost r-paracontact Riemann-ian manifold endowed with a semi-symmetric metric connection. 1.
Abstract. We define a quarter symmetric metric connection in an al-most r-paracontact Riemannian ... more Abstract. We define a quarter symmetric metric connection in an al-most r-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Rie-mannian manifold endowed with a quarter symmetric metric connection. 1.
We consider a nearly hyperbolic cosymplectic manifold and study semi-invariant submanifolds of a ... more We consider a nearly hyperbolic cosymplectic manifold and study semi-invariant submanifolds of a nearly hyperbolic cosymplectic manifold. We also study parallel distributions on nearly hyperbolic cosymplectic manifold and find the integrability conditions of some distributions on nearly hyperbolic cosymplectic manifold.
In this paper, we introduce the notion of a bi-slant lightlike submanifold of a golden semi-Riema... more In this paper, we introduce the notion of a bi-slant lightlike submanifold of a golden semi-Riemannian manifold. We provide two examples. We give some characterizations about the geometry of such submanifolds.
The purpose of this paper is to study properties of hypersurfaces of a Riemannian manifold equipp... more The purpose of this paper is to study properties of hypersurfaces of a Riemannian manifold equipped with a golden structure. We discuss the necessary and sufficient conditions for a hypersurface to be a golden Riemannian manifold in terms of invariance. The totally geodesics and totally umbilical hypersurfaces in golden Riemannian manifolds are analyzed. Also, we construct an example on hypersurface of the Euclidean space endowed with a golden Riemannian structure.
In this paper, we study an anti-invariant semi-Riemmannian submersions from indefinite almost con... more In this paper, we study an anti-invariant semi-Riemmannian submersions from indefinite almost contact metric manifolds. We obtain, the necessary and sufficient conditions for the characteristics vector filed to be vertical and horizontal. aMoreover, we find the conditions of integrability and hormonicness of this submersion map. Finally, we furnish an example of an anti-invariant semi-Riemannian submersion from indefinite almost contact metric manifold which is indefinite trans-Sasakian manifolds in the present paper.
International Journal of Mathematical Archive, 2013
W e define a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold ... more W e define a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we discuss some properties of semi-symmetric non-metric connection in almost r-paracontact Riemannian manifold and also obtain curvature tensor with respect to semi-symmetric non-metric connections.
International Journal of Analysis and Applications
In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admittin... more In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS). At last by constructing a 5-dimensional non-trivial example we illustrate our result.
In the present paper we study the extended generalized φ-recurrent α-Kenmotsu manifolds and discu... more In the present paper we study the extended generalized φ-recurrent α-Kenmotsu manifolds and discuss its different geometric properties. Among the results established here it is shown that an extended generalized φ-recurrent α-Kenmotsu manifold is an Einstein manifold and the curvature tensor have also been calculated. Finally an example of extended generalized φ-recurrent α-Kenmotsu manifolds have been constructed.
We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and... more We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. We obtain some properties of nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. Further, we find the necessary and sufficient conditions for totally umbilical non-invariant hypersurface with [Formula: see text]-structure of nearly hyperbolic Sasakian manifold to be totally geodesic. We also calculate the second fundamental form of a non-invariant hypersurface of a nearly hyperbolic Sasakian manifold with [Formula: see text]-structure under the condition when f is parallel.
We define the canonical semi-symmetric semi-metric connection in a nearly Kenmotsu manifold and w... more We define the canonical semi-symmetric semi-metric connection in a nearly Kenmotsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with the canonical semi-symmetric semi-metric connection. Moreover, we discuss the integrability of distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection.
Abstract. We define a semi-symmetric metric connection in an almost r-paracontact Riemannian mani... more Abstract. We define a semi-symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invari-ant and anti-invariant hypersurfaces of an almost r-paracontact Riemann-ian manifold endowed with a semi-symmetric metric connection. 1.
Abstract. We define a quarter symmetric metric connection in an al-most r-paracontact Riemannian ... more Abstract. We define a quarter symmetric metric connection in an al-most r-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Rie-mannian manifold endowed with a quarter symmetric metric connection. 1.
We consider a nearly hyperbolic cosymplectic manifold and study semi-invariant submanifolds of a ... more We consider a nearly hyperbolic cosymplectic manifold and study semi-invariant submanifolds of a nearly hyperbolic cosymplectic manifold. We also study parallel distributions on nearly hyperbolic cosymplectic manifold and find the integrability conditions of some distributions on nearly hyperbolic cosymplectic manifold.
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