Results 31 to 40 of about 1,746,741 (337)

Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle [PDF]

open access: yesJournal of differential geometry, 2016
We show that if a compact complex manifold admits a K\"ahler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then its canonical bundle is positive.
Simone Diverio, S. Trapani
semanticscholar   +1 more source

Existence and uniqueness theorems for pointwise-slant immersions in Sasakian space forms

open access: yesAIMS Mathematics, 2023
In this paper we derive the Existence and Uniqueness Theorems for pointwise slant immersions in Sasakian space forms which extend the Existence and Uniqueness Theorems for slant immersions in Sasakian space forms proved by Cabreizo et al in 2001.
Noura Alhouiti
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

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

Stochastic Primal-Dual Method on Riemannian Manifolds of Bounded Sectional Curvature [PDF]

open access: yesInternational Conference on Machine Learning and Applications, 2017
We study a stochastic primal-dual method for optimizing functions on elliptic (sub)manifolds– Riemannian (sub)manifolds with a positive bounded sectional curvature.
M. B. Khuzani, Na Li
semanticscholar   +1 more source

Hermitian metrics of positive holomorphic sectional curvature on fibrations [PDF]

open access: yesMathematische Zeitschrift, 2017
The main result of this note essentially is that if the base and fibers of a compact fibration carry Hermitian metrics of positive holomorphic sectional curvature, then so does the total space of the fibration.
Ananya Chaturvedi, Gordon Heier
semanticscholar   +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

Reduction of manifolds with semi-negative holomorphic sectional curvature [PDF]

open access: yes, 2017
In this note, we continue the investigation of a projective Kähler manifold M of semi-negative holomorphic sectional curvature H. We introduce a new differential geometric numerical rank invariant which measures the number of linearly independent truly ...
Gordon Heier   +3 more
semanticscholar   +1 more source

Hirzebruch manifolds and positive holomorphic sectional curvature [PDF]

open access: yesAnnales de l'Institut Fourier, 2016
This paper is the first step in a systematic project to study examples of Kahler manifolds with positive holomorphic sectional curvature ($H > 0$). Previously Hitchin proved that any compact Kahler surface with $H>0$ must be rational and he constructed ...
Bo Yang, F. Zheng
semanticscholar   +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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