Results 81 to 90 of about 10,722 (208)

On the sectional curvature of lightlike submanifolds

Journal of Inequalities and Applications, 2016
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
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Graded lagrangian submanifolds [PDF]

Bulletin de la Société mathématique de France, 2000
LaTex2e, 32 pages, one eps ...
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Complete $\lambda$-submanifolds in Gauss spaces [PDF]

, 2023
In this paper, we study $\lambda$-submanifolds of arbitrary codimensions in Gauss spaces. These submanifolds can be seen as natural generalizations of self-shrinker and $\lambda$-hypersurfaces.
Hieu, Doan The
core  

New results toward the classification of biharmonic submanifolds in 𝕊n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic ...
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ON THE GEOMETRY OF PARACOMPLEX SUBMANIFOLDS

Demonstratio Mathematica, 2001
The paracomplex submanifolds \(M\) in an almost parahermitian manifold (\(\overline M,\overline J,\overline g)\) with \(\overline J^2=I\), \(\overline g(X,\overline JY)+\overline g(\overline JX,Y)=0\) are characterized by \(\overline J(T_xM)=T_xM\) [see \textit{V. Cruceanu}, \textit{P. Fortuny} and \textit{P. M. Gradea} in Rocky Mt. J. Math. 26, 83-115
Al-Aqeel, Adnan, Bejancu, Aurel
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On normal CR-submanifolds of S-manifolds [PDF]

, 1993
Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L.
Fernández, Manuel, Cabrerizo, José, Fernández, Luis   +2 more
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Certain Submanifolds of Hsu-structure Manifolds [PDF]

, 2020
In this paper, authors have studied Hsu-structure manifolds and submanifolds. Submanifolds immersed in Hsu-structure manifold and (f, g, A1, A2, T1, T2) -Hsu metric structure manifolds have been studied.
Navneet Kumar Verma, Ram Nivas
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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'
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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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Brownian Motion on a Submanifold [PDF]

Communications in Analysis and Geometry, 2004
Consider an \(n\)-dimensional complete Riemannian manifold \(N\), and a closed \(m\)-dimensional submanifold \(M\). Using that the Laplacian on \(N\) is got by projection of the horizontal Laplacian on \(O(N): (\Delta^N\varphi)\circ\pi= \sum^n_{i=1} (H^N_i)^2(\varphi\circ\pi)\), one obtains classically the Brownian motion on \(N\) as \(\pi(p^N_t ...
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