Results 21 to 29 of about 383 (29)
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
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
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
The Geometry Of Hemi-Slant Submanifolds of a Locally Product Riemannian Manifold
, 2014 In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some applications of this ...
Taştan, Hakan Mete, Özdemir, Fatma
core +1 more source
Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
, 2014 We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for skew semi-invariant submanifold of order 1 to be a locally warped product.
Taştan, Hakan Mete
core +1 more source
Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet (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
Homology groups in CR-warped products of complex space forms. [PDF]
HeliyonLi Y +4 more
europepmc +1 more source