Results 21 to 30 of about 544 (183)
On the invariant submanifold of a CR-manifold [PDF]
Kodai Mathematical Journal, 1982 exaly +3 more sources
Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
doaj +1 more source
Cohomology of semi-invariant submanifolds of cosymplectic manifolds
MANAS: Journal of Engineering, 2021 In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold.
Ramazan Sarı
doaj
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
doaj +1 more source
ON SOME SEMI - INVARIANT SUBMANIFOLDS
Demonstratio Mathematica, 1984 Let M be a differentiable manifold imbedded as a submanifold in a differentiable manifold M. One defines on M an \(F(2,\epsilon)\)-structure by a (1,1)-tensor F such that \(F^ 2=\epsilon I\) \((\epsilon =\pm 1)\). Then F is an almost complex structure if \(\epsilon =-1\), and an almost product structure if \(\epsilon =+1\).
Singh, K. D., Singh, Y. N.
openaire +2 more sources
Pseudoparallel invariant submanifolds of Kenmotsu manifolds
Journal of Amasya University the Institute of Sciences and Technology, 2023 In this paper, we consider pseudoparallel invariant submanifolds, a particular class of invariant submanifolds of Kenmotsu manifolds, on $W_8$ curvature tensor and investigate some of their basic characterizations, such as $W_8$ pseudoparallel, $W_8$-2 ...
Nurnisa Karaman, Mehmet Atçeken
doaj +1 more source
ON AN INVARIANT SUBMANIFOLD OF HYPERBOLIC SASAKIAN MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2017 The object of the present paper is to study an invariant submanifold of hyperbolic Sasakian maifolds. In this paper, we consider semiparallel and 2-semiparallel invariant submanifolds of hyperbolic Sasakian manifold and it is shown that these submanifolds are totally geodesic.
Pandey, Shravan Kumar, Singh, Ram Nawal
openaire +1 more source
A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
doaj +1 more source
Invariant submanifolds in golden Riemannian manifolds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: In this paper, we study invariant submanifolds of a golden Riemannian manifold with the aid of induced structures on them by the golden structure of the ambient manifold. We demonstrate that any invariant submanifold in a locally decomposable golden Riemannian manifold leaves invariant the locally decomposability of the ambient manifold.
Kılıç, Erol +2 more
openaire +4 more sources
INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS [PDF]
Glasgow Mathematical Journal, 2008 AbstractInvariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (κ, μ)-manifold, μ ≠ 0, such that the characteristic vector field is tangent to the ...
CAPPELLETTI MONTANO, BENIAMINO +2 more
openaire +3 more sources