Results 21 to 30 of about 409 (182)
On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
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Invariant Submanifolds of Trans-Sasakian Manifolds [PDF]
Ukrainian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bagewadi, C.S., Anitha, B.S.
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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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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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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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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On invariant submanifolds of ( LCS ) n -manifolds
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaikh, Absos Ali +2 more
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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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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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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
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