Zobrazeno 1 - 10
of 486
pro vyhledávání: '"Bang-Yen Chen"'
Publikováno v:
Axioms, Vol 13, Iss 10, p 724 (2024)
In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M. Crasmareanu in 2008, following the principles
Externí odkaz:
https://doaj.org/article/5a37cc03ea894880846a010155992f19
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2628 (2024)
For a compact Riemannian m-manifold (Mm,g),m>1, endowed with a nontrivial conformal vector field ζ with a conformal factor σ, there is an associated skew-symmetric tensor φ called the associated tensor, and also, ζ admits the Hodge decomposition
Externí odkaz:
https://doaj.org/article/4ef26440172d478097cfc69dcfbc9f6e
Publikováno v:
Axioms, Vol 13, Iss 8, p 500 (2024)
This work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor. Quasi-conformall
Externí odkaz:
https://doaj.org/article/372dba82a2fc4f22905a97f2ace9451d
Publikováno v:
Journal of Mathematics, Vol 2024 (2024)
Let x be an isometric immersion of a Riemannian n-manifold M into a Euclidean n+1-space En+1 which does not pass through the origin of En+1. Then, the tangential part of the position vector field x of x is called the canonical vector field, and the n
Externí odkaz:
https://doaj.org/article/1b59c817734647e7a9ff606d8258d123
Autor:
Bang-Yen Chen, Gabriel-Eduard Vîlcu
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4186 (2023)
One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications. In this respect, the first author es
Externí odkaz:
https://doaj.org/article/c860d5fcba264c7a8d29d693c71ed43c
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2600 (2023)
Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper,
Externí odkaz:
https://doaj.org/article/c20fbc0c09384692afaeb5cbae833ab8
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
Abstract The constant elasticity of substitution (CES for short) is a basic property widely used in some areas of economics that involves a system of second-order nonlinear partial differential equations. One of the most remarkable results in mathema
Externí odkaz:
https://doaj.org/article/12465db368784ceca24d6b946964861b
Publikováno v:
Mathematics, Vol 10, Iss 4, p 591 (2022)
One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds. In order to establish such relations, the first author introduced in the 1990s the notion
Externí odkaz:
https://doaj.org/article/3e19e85e69184800a835be100fe0160c
Publikováno v:
Entropy, Vol 23, Iss 11, p 1399 (2021)
The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of th
Externí odkaz:
https://doaj.org/article/f3bcff0bdac2438c83d19a1b699a4398
Autor:
Bang-Yen Chen
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 23, Iss 1, Pp 1-17 (2017)
The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential geometry in which the position vector field plays very important ro
Externí odkaz:
https://doaj.org/article/21ff767ceb9c46ad859ce1b36be22c27