Results 11 to 20 of about 129,831 (277)
On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms.
S.E. Stepanov, I. I. Tsyganok
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Strongly positive curvature [PDF]
We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive curvature operator and positive sectional curvature, and stems from the work of Thorpe in the 1970s.
Bettiol, Renato G.+1 more
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The curvature of contact structure on 3-manifolds [PDF]
We study the sectional curvature of plane distributions on 3-manifolds. We show that if the distribution is a contact structure it is easy to manipulate this curvature. As a corollary we obtain that for every transversally oriented contact structure on a
Candel+5 more
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Study of Morphometry of Clavicle in East Indian Population [PDF]
Introduction: The clavicle is a subcutaneous bone most frequently fractured at the junction of medial 2/3rd and lateral 1/3rd of its shaft. The knowledge about the morphometry of clavicle is important for surgeons as well as orthopaedic surgeons. Aim:
BANANI KUNDU+2 more
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On the sectional curvature of lightlike submanifolds
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
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On generalized semisymmetric Riemannian manifolds
There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or ...
Josef Mikes, Sergey E. Stepanov
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Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds
Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds.
Mehmet Gülbahar
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Manifolds with 1/4-pinched flag curvature [PDF]
We say that a nonnegatively curved manifold $(M,g)$ has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bounded above by 4.
A. Petrunin+24 more
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Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
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On the quaternion projective space
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar+4 more
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