Results 1 to 10 of about 28,336 (263)

Norden Golden Manifolds with Constant Sectional Curvature and Their Submanifolds

Mathematics, 2023
This paper discusses the Norden golden manifold having a constant sectional curvature. First, it is shown that if a Norden golden manifold has a constant real sectional curvature, the manifold is flat.
Fulya Şahin, Bayram Şahin, Feyza Esra Erdoğan   +2 more
doaj   +3 more sources

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]

Entropy, 2018
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu, Stefan Haesen, Leopold Verstraelen, Gabriel-Eduard Vîlcu   +3 more
doaj   +2 more sources

Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]

J Geom Anal, 2019
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional ...
Wan X.
europepmc   +6 more sources

Sectional Curvature of Connections with Vectorial Torsion

Russian Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E D Rodionov, Rodionov E D
exaly   +4 more sources

Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in ${\mathbb{S}}^m\left(c\right)\times \mathbb{R}$

Mathematics, 2023
Let Sm(c) denote a sphere with a positive constant curvature c and Mn(n≥3) be an n-dimensional compact pseudo-umbilical submanifold in a Riemannian product space Sm(c)×R with a nonzero parallel mean curvature vector (PMC), where R is a Euclidean line. In
Wang-Hua Qiu, Xin Zhan
doaj   +1 more source

Sectional curvature and Weitzenbock formulae

Indiana University Mathematics Journal, 2022
We establish a new algebraic characterization of sectional curvature bounds $\sec\geq k$ and $\sec\leq k$ using only curvature terms in the Weitzenböck formulae for symmetric $p$-tensors. By introducing a symmetric analogue of the Kulkarni-Nomizu product, we provide a simple formula for such curvature terms.
Bettiol, R., Mendes, R.
openaire   +4 more sources

Pointwise orthogonal splitting of the space of TT-tensors

Дифференциальная геометрия многообразий фигур, 2023
In the present paper we consider pointwise orthogonal split­ting of the space of well-known TT-tensors on Rieman­nian manifolds. Tensors of the first subspace belong to the ker­nel of the Bourguignon Laplacian, and the tensors of the se­cond subspace ...
S. E. Stepanov, I. I. Tsyganok
doaj   +1 more source

On the geometry of the tangent bundle with gradient Sasaki metric [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
doaj   +1 more source

On the scalar curvature and sectional curvatures of a Kaehler submanifold [PDF]

Proceedings of the American Mathematical Society, 1973
For a Kaehler submanifold of a complex space form, pinching for scalar curvature implies pinching for sectional curvatures. 1 . Statement of result. The scalar curvature is, by definition, the sum of Ricci curvatures with respect to an orthonormal basis of the tangent space, and the Ricci curvature is the sum of sectional curvatures.
Chen, Bang-Yen, Ogiue, Koichi
openaire   +1 more source

On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection

Дифференциальная геометрия многообразий фигур, 2023
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
doaj   +1 more source