Results 1 to 10 of about 7,654 (232)

Submanifolds of Almost-Complex Metallic Manifolds [PDF]

Mathematics, 2023
Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun, Mustafa Özkan
doaj   +2 more sources

Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms

Axioms
In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Meraj Khan, Ibrahim Al-Dayel, Yanlin Li   +2 more
exaly   +3 more sources

An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not.
Gauree Shanker, Ankit Yadav
doaj   +1 more source

Parallel Submanifolds

Results in Mathematics, 2009
Opozda Barbara, Barbara Opozda
exaly   +3 more sources

Automorphisms of Submanifolds [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová, Václav Tryhuk   +1 more
openaire   +3 more sources

Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

Journal of Mathematics, 2023
This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection.
Ibrahim Al-Dayel, Meraj Ali Khan, Mohammad Shuaib   +2 more
doaj   +1 more source

Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey

Mathematics, 2021
We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
doaj   +1 more source

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
openaire   +3 more sources

Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection

Axioms, 2023
In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
doaj   +1 more source

Radical Transversal Lightlike Submanifolds of Indefinite Para-Sasakian Manifolds

Demonstratio Mathematica, 2014
In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds.
Shukla S.S., Yadav Akhilesh
doaj   +1 more source