Results 31 to 40 of about 1,099 (217)
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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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
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Invariant Submanifolds of Paracontact Metric ((kappa)over-tilde not equal-1, (mu)over-tilde)-Manifolds [PDF]
, 2020 The principal objective of this paper is to answer positively the open question whether every invariant submanifold of a paracontact metric ((kappa) over tilde, (mu) over tilde)-manifold is totally geodesic.
Erken, İrem Küpeli
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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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Some results on invariant submanifolds of a paracontact (κ, µ, ν)-space
, 2023 In this paper, we have characterized an invariant submanifold of a paracontact (κ, µ, ν)-space. Besides this, we have researched some geometric conditions for an invariant submanifold of a paracontact (κ, µ, ν)-space to be totally ...
Uygun, Pakize
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Zero modes of velocity field and topological invariant in quantum torus
Results in Physics, 2021 We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
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Statistical cosymplectic manifolds and their submanifolds
پژوهشهای ریاضی, 2022 Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
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Entropy, 2018 In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu +3 more
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Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Axioms, 2022 In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li +3 more
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Non-invariant submanifolds of locally decomposable golden Riemannian manifolds
, 2021 In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the induced structure on the submanifold by the golden structure of the ...
Gok, Mustafa, Kilic, Erol
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