Results 251 to 260 of about 339,646 (271)

Metallic Structures on Product Manifolds and Chen-Ricci Inequalities

International Electronic Journal of Geometry
In this study, we discuss metallic structures on product manifolds and derive the Chen-Ricci inequalities for remarkable submanifolds determined by the behaviour of their tangent bundles with regard to the action of the metallic structure in a locally decomposable metallic Riemannian manifold whose components are spaces of constant curvature. Moreover,
openaire   +2 more sources

Chen’s first inequality for Riemannian maps to complex space forms and $$\delta $$-invariants

Periodica Mathematica Hungarica
This paper's goal is to study Chen's first inequality and its applications to relate intrinsic and extrinsic geometric aspects of the Riemannian submanifolds of the source manifolds using the features of the target manifolds of Riemannian maps. Precisely, we study Chen's first inequality for Riemannian maps from Riemannian manifolds to complex space ...
Kiran Meena, Bayram Sahin, Hemangi Shah
exaly   +3 more sources

B. Y. Chen Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds

2019
In this paper, we derive a statistical version of B. Y. Chen inequality for statistical submanifolds in the Sasakian statistical manifolds with constant curvature and discuss the equality case of the inequality. We also give some applications of the inequalities obtained.
Mohd. Aquib, Michel Nguiffo Boyom, Ali Hussain Alkhaldi, Mohammad Hasan Shahid   +3 more
openaire   +1 more source

B.-Y. Chen-Type Inequalities for Three Dimensional Smooth Hypersurfaces

International Electronic Journal of Geometry
By J.F. Nash’s Theorem, any Riemannian manifold can be embedded into a Euclidean ambient space with dimension sufficiently large. S.-S. Chern pointed out in 1968 that a key technical element in applying Nash’s Theorem effectively is finding useful relationships between intrinsic and extrinsic elements that are characterizing immersions.
Bogdan Suceava, Anh Du Tran
openaire   +2 more sources

93.09 A proof of an inequality conjectured by J. Chen

The Mathematical Gazette, 2009
Juan Wang, Ying Zhang
openaire   +1 more source

Chen-Ricci inequality for biwarped product submanifolds in complex space forms

AIMS Mathematics, 2021
Amira A Ishan, Meraj Ali Khan
exaly  

A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Results in Mathematics, 2019
Bang-Yen Chen, Adela Mihai, Ion Mihai
exaly  

Improved Chen–Ricci inequality for curvature-like tensors and its applications

Differential Geometry and Its Applications, 2011
Mukut Mani Tripathi
exaly  

Statistical Maps and Chen’s First Inequality for These Maps

Sema Kazan, Aliya Naaz Suddiqui
openaire   +1 more source

Chen–Ricci inequality for warped products in Kenmotsu space forms and its applications

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2019
Abdulqader Mustafa, Siraj Uddin
exaly