Results 21 to 30 of about 343 (47)

CM Stability And The Generalized Futaki Invariant II [PDF]

, 2008
The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family $\mathbf{X}\overset{p}{\to} S$. Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the ...
Paul, Sean Timothy, Tian, Gang
core   +3 more sources

Special Hermitian metrics and Lie groups

, 2011
A Hermitian metric on a complex manifold is called strong K\"ahler with torsion (SKT) if its fundamental 2-form $\omega$ is $\partial \bar \partial$-closed.
Enrietti, Nicola, Fino, Anna
core   +1 more source

The delta invariant and the various GIT-stability notions of toric Fano varieties

, 2019
In this article, we give combinatorial proofs of the following two theorems: (1) If a Gorenstein toric Fano variety is asymptotically Chow semistable then it is Ding polystable.
Yotsutani, Naoto
core   +1 more source

Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
doaj   +1 more source

Holomorphic submersions onto K\"ahler or balanced manifolds [PDF]

, 2016
We study many properties concerning weak K\"ahlerianity on compact complex manifolds which admits a holomorphic submersion onto a K\"ahler or a balanced manifold. We get generalizations of some results of Harvey and Lawson (the K\"ahler case), Michelson (
Alessandrini, Lucia
core  

H-functional and Matsushima type decomposition theorem

, 2019
The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core  

Complex nilmanifolds and K\"ahler-like connections

, 2019
In this note, we analyze the question of when will a complex nilmanifold have K\"ahler-like Strominger (also known as Bismut), Chern, or Riemannian connection, in the sense that the curvature of the connection obeys all the symmetries of that of a K ...
Zhao, Quanting, Zheng, Fangyang
core  

Homology groups in CR-warped products of complex space forms. [PDF]

Heliyon
Li Y, Ali A, Alluhaibi N, Mofarreh F, Ozel C.   +4 more
europepmc   +1 more source

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On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics

Manuscripta Mathematica, 2023
Mounir Hajli
exaly  

Uniform approximation of holomorphic forms

Complex Variables and Elliptic Equations, 1998
Elisabetta Barletta, Sorin Dragomir
exaly