Results 11 to 20 of about 5,115 (226)

The (α,p)-Golden Metric Manifolds and Their Submanifolds

Mathematics, 2023
The notion of a golden structure was introduced 15 years ago by the present authors and has been a constant interest of several geometers. Now, we propose a new generalization apart from that called the metallic structure, which is also considered by the
Cristina E. Hretcanu, Mircea Crasmareanu
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Infinitesimal variations of submanifolds [PDF]

Ensaios Matemáticos, 2020
This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theorem for these geometric objects. Similar to the theory of isometric immersions in Euclidean space, we prove that a system of three equations for a certain pair of tensors are ...
Marcos Dajczer, Miguel Ibieta Jimenez
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Minimal submanifolds

Bulletin of the London Mathematical Society, 2006
In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
Colding, Tobias H., Minicozzi II, William P.   +1 more
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A Berger type normal holonomy theorem for complex submanifolds [PDF]

, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala, Console, S., Olmos, C., Di Scala, Antonio Jose', Sergio Console, Carlos Olmos   +5 more
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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds

Demonstratio Mathematica, 2014
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish, Kumar Rakesh, Nagaich R. K.   +2 more
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]

, 2004
We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala, C. Olmos, Di Scala, Antonio Jose', Carlos Olmos   +3 more
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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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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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Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
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Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds

Mathematics, 2021
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur, Adela Mihai, Cihan Özgür   +2 more
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