Results 21 to 30 of about 187 (169)
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
Axioms, 2019 A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
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On balls and totally geodesic submanifolds [PDF]
Annales Polonici Mathematici, 1984 Let (M,g) be a Riemannian manifold and let N be a submanifold of (M,g). Further, let \(x\in N\) and denote by \(B_ N(x,r)\) (or \(B_ M(x,r)\), respectively) the open geodesic ball on N (or M, respectively) with center x and radius r. N is said to be \(\epsilon\)-regular if \(B_ N(x,r)=B_ M(x,r)\cap N\) for any \(x\in N\) and \(r\in (0,\epsilon).\) In ...
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CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD
Journal of Amasya University the Institute of Sciences and Technology, 2022 In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
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On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
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TOTALLY GEODESIC SUBMANIFOLDS IN RIEMANNIAN SYMMETRIC SPACES [PDF]
Differential Geometry, 2009 In the first part of this expository article, the most important constructions and classification results concerning totally geodesic submanifolds in Riemannian symmetric spaces are summarized. In the second part, I describe the results of my classification of the totally geodesic submanifolds in the Riemannian symmetric spaces of rank 2.
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Restriction of toral eigenfunctions to totally geodesic submanifolds [PDF]
Analysis & PDE, 2021 6 figures.
Huang, Xiaoqi, Zhang, Cheng
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Totally real submanifolds in a complex projective space
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below.
Liu Ximin
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Legendrian normally flat submanifols of $\mathcal{S}$-space forms
Karpatsʹkì Matematičnì Publìkacìï, 2020 In the present study, we consider a Legendrian normally flat submanifold $M$ of $(2n+s)$-dimensional $\mathcal{S}$-space form $\widetilde{M}^{2n+s}(c)$ of constant $\varphi$-sectional curvature $c$.
F. Mahi, M. Belkhelfa
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Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold
International Journal of Mathematics and Mathematical Sciences, 1984 It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
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