Results 71 to 80 of about 217,631 (179)

Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]

ریاضی و جامعه
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj   +1 more source

Hopf fibrations and totally geodesic submanifolds

Journal of the European Mathematical Society
We classify totally geodesic submanifolds in Hopf–Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations. As a byproduct of our investigations, we have discovered very intriguing examples of totally geodesic submanifolds: totally geodesic submanifolds isometric to real projective
Carlos Enrique Olmos, Alberto Rodríguez-Vázquez   +1 more
openaire   +2 more sources

Certifying Anosov representations

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

Circles and Totally Geodesic Kahler Submanifolds

, 2002
The purpose of this paper is to characterize all totally geodesic Kahler submanifolds by some ...
Suizu, Kaoru
core   +1 more source

A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold

Kuwait Journal of Science, 2013
In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.  
KHUSHWANT SINGH, SIRAJ UDDIN, MERAJ ALI KHAN   +2 more
doaj  

Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection

International Journal of Mathematics and Mathematical Sciences, 2012
The object of this paper is to study invariant submanifolds 𝑀 of Sasakian manifolds 𝑀 admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection.
B. S. Anitha, C. S. Bagewadi
doaj   +1 more source

Totally geodesic submanifolds in tangent bundle with g-natural metric [PDF]

International Journal of Geometric Methods in Modern Physics, 2014
In a tangent bundle endowed with g-natural metric G we investigate submanifolds defined by a vector field given on a base manifold. We give a sufficient condition for a vector field on M to define totally geodesic submanifold in (TM, G). The parallel vector field is discussed in more detail.
openaire   +3 more sources

Circle packings, renormalizations, and subdivision rules

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source

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

Study of bi-f-harmonic curve along immersions

Miskolc Mathematical Notes
In this paper, we characterize the bi-f-harmonic curve on surfaces and then we study the submanifold of a Riemannian manifold using the bi-f-harmonic curve.
Buddhadev Pal, Mahendra Kumar, Santosh Kumar   +2 more
doaj   +1 more source