Results 21 to 30 of about 10,722 (208)

On submanifolds whose shape operator is unipotent [PDF]

open access: yes, 2006
The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
core   +1 more source

Bochner-Chen Ideal Submanifolds

open access: yes, 2020
In this paper, we investigate ideal invariant submanifolds, ideal anti-invariant submanifolds and ideal CR-submanifolds of Bochner Kaehler manifolds.
Gulbahar, Mehmet, Kilic, Erol
core   +2 more sources

Ideal CR submanifolds in non-flat complex space forms [PDF]

open access: yes, 1981
summary:An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds.
Sasahara, Toru, Bang-yen Chen
core   +1 more source

On the type constancy of some six-dimensional planar submanifolds of Cayley algebra

open access: yesДифференциальная геометрия многообразий фигур, 2023
The notion of type constancy was introduced by Alfred Gray for nearly Kählerian manifolds and later generalized by Vadim F. Kirichenko and Irina V. Tret’yakova for all Gray — Hervella classes of almost Her­mitian manifolds.
G. A. Banaru
doaj   +1 more source

Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2013
We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
doaj   +1 more source

A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds

open access: yesAxioms, 2019
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj   +1 more source

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
doaj   +1 more source

Inflexible CR submanifolds [PDF]

open access: yesMathematische Zeitschrift, 2016
to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
openaire   +2 more sources

Super parallel immersions in Euclidean space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Two submanifolds of Euclidean n-space En are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal transformation on super parallel mates.
Tarek Fathy Mersal   +1 more
doaj   +1 more source

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

open access: yesCubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

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