Results 21 to 30 of about 28,093 (313)

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

open access: yesTikrit 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

Sweeping out sectional curvature [PDF]

open access: yesGeometry & Topology, 2014
We observe that the maximal open set of constant curvature k in a Riemannian manifold with curvature bounded below or above by k has a convexity type property, which we call "two-convexity". This statement is used to prove a number of rigidity statements in comparison geometry.
Panov, D., Petrunin, A.
openaire   +6 more sources

Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions

open access: yesMathematics, 2023
In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating
Feng Qi, Ravi Prakash Agarwal
doaj   +1 more source

Four-manifolds of pinched sectional curvature

open access: yesPacific Journal of Mathematics, 2022
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 definite.
Cao, Xiaodong, Tran, Hung
openaire   +3 more sources

Positive weighted sectional curvature [PDF]

open access: yesIndiana University Mathematics Journal, 2017
In this paper, we give a new generalization of positive sectional curvature called positive weighted sectional curvature. It depends on a choice of Riemannian metric and a smooth vector field. We give several simple examples of Riemannian metrics which do not have positive sectional curvature but support a vector field that gives them positive weighted
Kennard, Lee, Wylie, William
openaire   +2 more sources

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

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 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

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

Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds

open access: yesAdvances in Mathematical Physics, 2012
We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold.
Sangeet Kumar   +2 more
doaj   +1 more source

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