Results 61 to 70 of about 10,722 (208)

Homogeneous hypersurfaces and totally geodesic submanifolds [PDF]

open access: yes, 2022
This Ph.D. thesis deals with the study of certain classes of submanifolds in the presence of symmetry. Namely, results have been derived regarding the theory of submanifolds in Riemannian homogeneous spaces with a special emphasis on symmetric spaces.
Rodríguez Vázquez, Alberto
core  

Hopf fibrations and totally geodesic submanifolds [PDF]

open access: yes, 2023
We classify totally geodesic submanifolds in Hopf-Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations.
Rodríguez-Vázquez, Alberto   +1 more
core   +1 more source

Screen Generic Lightlike Submanifolds

open access: yes, 2019
In this study, we introduce a new class of lightlike submanifolds for indefinite Kahler manifolds which particulary contain invariant lightlike, screen real lightlike and generic lightlike submanifolds and we call this submanifolds as screen generic ...
Burçin Doğan   +5 more
core   +1 more source

Geometrical Analysis on Submanifolds in Riemannian Manifolds Attached with Silver Structure

open access: yesAxioms
In this paper, we analyze a silver Riemannian structure on a Riemannian manifold. We compute some fundamental properties of the induced structure on submanifolds immersed in a silver Riemannian manifold and also obtain some results for induced structures
Shadab Ahmad Khan   +4 more
doaj   +1 more source

Classification of f-biharmonic submanifolds in Lorentz space forms

open access: yesOpen Mathematics, 2021
In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
doaj   +1 more source

Generalized complex submanifolds [PDF]

open access: yesPacific Journal of Mathematics, 2008
section 3 expanded, three sections added, 19 ...
Barton, James, Stiénon, Mathieu
openaire   +3 more sources

Conformal Kaehler Submanifolds

open access: yesResults in Mathematics
AbstractThis paper presents two results in the realm of conformal Kaehler submanifolds. These are conformal immersions of Kaehler manifolds into the standard flat Euclidean space. The proofs are obtained by making a rather strong use of several facts and techniques developed in Chion and Dajczer (Proc Edinb Math Soc 66:810–833, 2023) for the study of ...
L. J. Alías, S. Chion, M. Dajczer
openaire   +3 more sources

Classification results for biharmonic submanifolds in spheres [PDF]

open access: yes, 2008
We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric properties. We classify: (i) the biharmonic hypersurfaces with at most two distinct principal curvatures; (ii) the conformally at biharmonic hypersurfaces. We obtain
Balmus, Adina   +6 more
core   +1 more source

Lightlike Submanifolds of Indefinite Sasakian Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions.
K. L. Duggal, B. Sahin
doaj   +1 more source

Submanifolds associated with graphs

open access: yes, 2004
In this paper we present an interesting relationship between graph theory and differential geometry by defining submanifolds of almost Hermitian manifolds associated with certain kinds of graphs.
Fernández Fernández, Luis Manuel   +1 more
core   +1 more source

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