Results 71 to 80 of about 2,185 (102)

Some Estimates for a Generalized Abreu's Equation [PDF]

arXiv, 2016
We study a generalized Abreu equation and derive some estimates.
arxiv  

Kähler-Einstein metrics and algebraic structures on limit spaces [PDF]

arXiv, 2016
This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.
arxiv  

Spin(9)-structures and connections with totally skew-symmetric torsion [PDF]

, 2002
We study Spin(9)-structures on 16-dimensional Riemannian manifolds and characterize the geometric types admitting a connection with totally skew-symmetric torsion.
arxiv   +1 more source

Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +1 more source

Stability of algebraic varieties and Kahler geometry [PDF]

arXiv, 2017
This is a survey article, based on the author's lectures in the 2015 AMS Summer Research Institute in Algebraic Geometry, and to appear in the Proceedings.
arxiv  

Weak forms of $\ddb-$Lemma on compact complex manifolds [PDF]

arXiv, 2019
This paper is devoted to give a complete unified study of several weak forms of $\ddb-$Lemma on compact complex manifolds.
arxiv  

On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj   +1 more source

$(k,s)$-positivity and vanishing theorems for compact Kahler manifolds [PDF]

IJM 2010, 2010
We study the $(k,s)$-positivity for holomorphic vector bundles on compact complex manifolds. $(0,s)$-positivity is exactly the Demailly $s$-positivity and a $(k,1)$-positive line bundle is just a $k$-positive line bundle in the sense of Sommese. In this way we get a unified theory for all kinds of positivities used for semipositive vector bundles ...
arxiv  

Complex Plateau problem in non Kähler manifolds [PDF]

arXiv, 1998
We consider a complex Plateau problem for strongly pseudoconvex contours in non K\"ahler manifolds. A positive solution in the case of manifolds carrying a pluriclosed Hermitian metric forms is given. For the general case we propose a conjecture.
arxiv  

Reduction of Sasakian manifolds [PDF]

arXiv, 1999
We show that the contact reduction can be specialized to Sasakian manifolds. We link this Sasakian reduction to K\"ahler reduction by considering the K\"ahler cone over a Sasakian manifold. We present examples of Sasakian manifolds obtained by $S^1$ reduction of standard Sasakian spheres.
arxiv