Results 21 to 30 of about 9,550 (191)
A Liouville Property of Holomorphic Maps
The Scientific World Journal, 2013 We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
Chengjie Yu
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Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Axioms, 2020 We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect
José Luis Carmona Jiménez +1 more
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Pluricomplex Green's functions and Fano manifolds [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
Nicholas McCleerey, Valentino Tosatti
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A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds
, 2018 A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of ...
Biswas, Indranil, Pingali, Vamsi Pritham
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Holomorphic Cartan geometries and rational curves
Complex Manifolds, 2016 We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold.
Biswas Indranil, McKay Benjamin
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LCK rank of locally conformally Kahler manifolds with potential
, 2016 An LCK manifold with potential is a compact quotient of a Kahler manifold $X$ equipped with a positive Kahler potential $f$, such that the monodromy group acts on $X$ by holomorphic homotheties and multiplies $f$ by a character.
Ornea, Liviu, Verbitsky, Misha
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Existence and orthogonality of stable envelopes for bow varieties
Bulletin of the London Mathematical Society, EarlyView.Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley +1 more source
Neutral Slant Submanifolds of a Para-Kähler Manifold
Abstract and Applied Analysis, 2013 We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. We also
Yılmaz Gündüzalp
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Almost Kähler Deformation Quantization [PDF]
, 2000 We use a natural affine connection with nontrivial torsion on an arbitrary almost-Kähler manifold which respects the almost-Kähler structure to construct a Fedosov-type deformation quantization on this ...
Karabegov, Alexander V. +1 more
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Geometry of Paraquaternionic Kahler manifolds with torsion
, 2005 We study the geometry of PQKT-connections. We find conditions to the existence of a PQKT-connection and prove that if it exists it is unique.
Alekseevsky +33 more
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