Results 41 to 50 of about 14,803 (150)
Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces
, 2015 The main result of this note is that, for each $n\in \{1,2,3,\ldots\}$, there exists a Hodge metric on the $n$-th Hirzebruch surface whose positive holomorphic sectional curvature is $\frac{1}{(1+2n)^2}$-pinched.
Alvarez, Angelynn +2 more
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Reduction of manifolds with semi-negative holomorphic sectional curvature [PDF]
, 2017 In this note, we continue the investigation of a projective Kรคhler 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
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle [PDF]
Journal 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
On the integrability of a K-conformal killing equation in a Kaehlerian manifold
International Journal of Mathematics and Mathematical Sciences, 1991 We show that necessary and sufficient condition in order that K- conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m>2) is of constant holomorphic sectional curvature.
Kazuhiko Takano
doaj +1 more source
On CR-submanifolds of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1995 We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
doaj +1 more source
Asymptotic behaviour of the sectional curvature of the Bergman metric for annuli
, 2009 We extend and simplify results of \cite{Din~2009} where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied.
Zwonek, Wlodzimierz
core +1 more source
Advances in Mathematical Physics, 2011 Bonome et al., 1997, provided an algebraic characterization for an indefinite Sasakian manifold to reduce to a space of constant ๐-holomorphic sectional curvature.
Jae Won Lee
doaj +1 more source
Symplectic mean curvature flows in Kรคhler surfaces with positive holomorphic sectional curvatures [PDF]
Geometriae Dedicata, 2013 In this paper, we mainly study the mean curvature flow in K hler surfaces with positive holomorphic sectional curvatures. We prove that if the ratio of the maximum and the minimum of the holomorphic sectional curvatures is less than 2, then there exists a positive constant $ $ depending on the ratio such that $\cos \geq $ is preserved along the ...
Jiayu Li, Liuqing Yang
openaire +3 more sources
CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
doaj +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source