Results 31 to 40 of about 1,183 (218)
Certain results on invariant submanifolds of para-kenmotsu manifolds [PDF]
, 2021 The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para ...
Atçeken, Mehmet
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Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold
, 2023 In this paper, invariant submanifolds of a para-Sasakian manifold have been studied. Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel submanifolds of a para ...
Mert, Tuğba, Atçeken, Mehmet
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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.
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Lightlike Submanifolds of Indefinite Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2007 We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions.
K. L. Duggal, B. Sahin
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Full-rank affine invariant submanifolds [PDF]
Duke Mathematical Journal, 2018 We show that every GL(2, R) orbit closure of translation surfaces is either a connected component of a stratum, the hyperelliptic locus, or consists entirely of surfaces whose Jacobians have extra endomorphisms. We use this result to give applications related to polygonal billiards.
Mirzakhani, Maryam, Wright, Alex
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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
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Cubo, 2023 In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi +3 more
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The spectrum of an invariant submanifold
Journal of Differential Equations, 1980 AbstractThis paper is concerned with vector fields on smooth compact manifolds. The exponential growth of solutions of the linearized equations is described by the already well-known Spectral Theorem applied to the induced linear flow on the tangent bundle.
Sacker, Robert J, Sell, George R
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A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
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Invariant submanifold flows [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational bicomplex.
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