Results 71 to 80 of about 4,520 (139)
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
MathematicsLet (M1,g) and (M2,h) be two Hermitian manifolds. The twisted product Hermitian manifold (M1×M2f,G) is the product manifold M1×M2 endowed with the Hermitian metric G=g+f2h, where f is a positive smooth function on M1×M2.
Shuwen Li +3 more
doaj +1 more source
Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley +1 more source
Discrete analogues of second‐order Riesz transforms
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley +1 more source
Almost Kähler manifolds of constant holomorphic sectional curvature
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 The authors treat the holomorphic sectional curvature for almost Kähler manifolds. Their results are based on the identity \(R(X,Y,Z,W)=R(JX,JY,JZ,JW)\), proved by H. Farran, which unfortunately does not hold in general for this class of manifolds. The tangent bundle of a non-flat Riemannian manifold provides a simple counterexample.
Nagaich, R. K., Husain, S. I.
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, 2018 In this paper, we pose several conjectures on structures and images of maximal rationally connected fibrations of smooth projective varieties admitting semi-positive holomorphic sectional curvature.
Matsumura, Shin-ichi
core
On the Sectional Curvature of Holomorphic Curvature Operators [PDF]
Proceedings of the American Mathematical Society, 1981 Guerrero, Ignacio, Zoltek, Stanley M.
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Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
J Geom Anal, 2022 Datar V, Jacob A.
europepmc +1 more source
, 2019 This paper provides two gap theorems in Yang-Mills theory for complete four-dimensional manifolds with a weighted Poincar\'e inequality. The results show that given a Yang-Mills connection on a vector bundle over the manifold if the positive part of the ...
Vieira, Matheus
core
Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Entropy (Basel), 2022 Decu S, Vîlcu GE.
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Holomorphic isomorphism which preserves certain holomorphic sectional curvature [PDF]
Kodai Mathematical Journal, 1977 Kobayashi, Minoru, Tsuchiya, Susumu
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