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On Real Cohomology Generators of Compact Homogeneous Spaces

Sarajevo Journal of Mathematics
In this paper we discuss the degrees of real cohomology generators of compact homogeneous spaces. We relate these degrees to rational homotopy groups and, furthermore, we discuss the formality and geometric formality of compact homogeneous spaces in the ...
S. Terzić
semanticscholar   +1 more source

B.-Y. Chen Inequalities for Slant Submanifolds in Kenmotsu Space Forms II

Sarajevo Journal of Mathematics
In this article, we investigate sharp inequalities involving Chen invariants for a slant submanifold $M$ of a Kenmotsu space form $\widetilde{M}(c)$, tangent to the structure vector field of the ambient space.   2000 Mathematics Subject Classification.
Simona Costache
semanticscholar   +1 more source

On Special Weakly Ricci-Symmetric Kenmotsu Manifolds

Sarajevo Journal of Mathematics
In this paper, we have studied special weakly Ricci symmetric Kenmotsu manifolds. We show that if a special weakly Riccisymmetric Kenmotsu manifold admits a cyclic parallel Ricci tensor then the associate 1–form $\alpha$ must be zero.
N. Aktan   +2 more
semanticscholar   +1 more source

-Ricci Solitons On Sasakian Manifolds Admitting General Connection

Journal of Mountain Research
In this paper we study -Ricci soliton on Sasakian manifolds admitting general connection and obtain some conditions for the soliton to be shrinking, steady and expanding. MSC 2020: 53C15, 53C25, 53D15.
Pawan Bhatt, SK Chanyal
semanticscholar   +1 more source

On the construction of some complete metrics with exceptional holonomy

Duke Mathematical Journal, 1989
Robert L Bryant
exaly  

Compact four-dimensional Einstein manifolds

Journal of Differential Geometry, 1974
Nigel Hitchin
exaly  

Four-manifolds with positive curvature operator

Journal of Differential Geometry, 1986
Richard S Hamilton
exaly  

Almost contact structures and curvature tensors

Kodai Mathematical Journal, 1981
Dirk Janssens, Lieven Vanhecke
exaly  

$K$-energy maps integrating Futaki invariants

Tohoku Mathematical Journal, 1986
Toshiki Mabuchi
exaly  

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