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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

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 and Weitzenb\"ock formulae

Indiana University Mathematics Journal, 2020
We establish a new algebraic characterization of sectional curvature bounds $\sec\geq k$ and $\sec\leq k$ using only curvature terms in the Weitzenb\"ock formulae for symmetric $p$-tensors.
Bettiol, Renato G., Mendes, Ricardo A. E.   +1 more
core   +4 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

Four-manifolds of Pinched Sectional Curvature

Pacific Journal of Mathematics, 2019
In this paper, we study closed four-dimensional manifolds. In particular, we show that under various new pinching curvature conditions (for example, the sectional curvature is no more than 5/6 of the smallest Ricci eigenvalue) then the manifold is ...
Cao, Xiaodong, Tran, Hung
core   +3 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

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 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

K- constant type Kahler and Nearly Kahler manifolds for conharmonic curvature tensor

Tikrit Journal of Pure Science, 2023
The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K).
Ali A. Shihab, Rana H. jasim
doaj   +1 more source