Results 31 to 40 of about 214,617 (202)

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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Reducibility of complex submanifolds of the complex euclidean spaces [PDF]

, 2000
Let M be a simply connected complex submanifold of CN. We prove that M is irreducible, up a totally geodesic factor,if and only if the normal holonomy group acts irreducibly.
Di Scala, Antonio Jose'
core   +1 more source

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe 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, Ankit Yadav, Ramandeep Kaur   +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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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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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
doaj   +1 more source

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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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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