Results 11 to 20 of about 129,831 (277)

On the Tachibana numbers of closed manifolds with pinched negative sectional curvature

open access: yesДифференциальная геометрия многообразий фигур, 2020
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
doaj   +1 more source

Strongly positive curvature [PDF]

open access: yes, 2014
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
core   +1 more source

The curvature of contact structure on 3-manifolds [PDF]

open access: yes, 2008
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
core   +3 more sources

Study of Morphometry of Clavicle in East Indian Population [PDF]

open access: yesInternational Journal of Anatomy Radiology and Surgery, 2021
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
doaj   +1 more source

On the sectional curvature of lightlike submanifolds

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

On generalized semisymmetric Riemannian manifolds

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
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
doaj   +1 more source

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

open access: yesAIMS Mathematics, 2021
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
doaj   +1 more source

Manifolds with 1/4-pinched flag curvature [PDF]

open access: yes, 2009
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
core   +6 more sources

Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

open access: yesMathematics, 2018
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
doaj   +1 more source

On the quaternion projective space

open access: yesJournal of Taibah University for Science, 2020
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
doaj   +1 more source

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