Results 21 to 30 of about 408 (49)

Complex structures on product manifolds

Complex Manifolds
Let Mi{M}_{i}, for i=1i=1, 2, be a Kähler manifold, and let GG be a compact Lie group acting on Mi{M}_{i} by Kähler isometries. Suppose that the action admits a momentum map μi{\mu }_{i}, and let Ni≔μi−1(0){N}_{i}:= {\mu }_{i}^{-1}\left(0) be a regular ...
Biliotti Leonardo, Minuzzo Alessandro
doaj   +1 more source

Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]

, 2015
A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
core  

Kahler geometry of toric varieties and extremal metrics

, 1997
Recently Guillemin gave an explicit combinatorial way of constructing "toric" Kahler metrics on (symplectic) toric varieties, using only data on the moment polytope. In this paper, differential geometric properties of these metrics are investigated using
Abreu, Miguel
core   +4 more sources

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

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

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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