Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]
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
CM Stability And The Generalized Futaki Invariant II [PDF]
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 delta invariant and the various GIT-stability notions of toric Fano varieties
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
The Geometry Of Hemi-Slant Submanifolds of a Locally Product Riemannian Manifold
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
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Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
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
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Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures
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]
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
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]
Li Y +4 more
europepmc +1 more source
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