Results 81 to 90 of about 148,144 (172)

Complex Hessian Equations on Some Compact Kähler Manifolds

International Journal of Mathematics and Mathematical Sciences, 2012
On a compact connected 2m-dimensional Kähler manifold with Kähler form ω, given a smooth function f:M→ℝ and an integer ...
Asma Jbilou
doaj   +1 more source

The Concircular Curvature Tensor Of The Locally Conformal Kahler Manifold

Tikrit Journal of Pure Science, 2019
In this research, we are calculated components conharmonic curvature tensor in some aspects Hermeation manifolding in particular of the Locally Conformal Kahler manifold.
Ali Abdalmajed. Shihab, Dheyaa Nathim Ahmed   +1 more
doaj   +1 more source

The analytic moduli space of holomorphic submersions

Forum of Mathematics, Sigma
We construct a moduli space that parametrises stable proper holomorphic submersions over a fixed compact Kähler base. Stability is described in terms of the existence of a canonical relatively Kähler metric on the submersion, called an optimal symplectic
Annamaria Ortu
doaj   +1 more source

Locally conformally Kähler solvmanifolds: a survey

Complex Manifolds, 2019
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
doaj   +1 more source

On the orientability of the asset equilibrium manifold [PDF]

This paper addresses partly an open question raised in the Handbook of Mathematical Economics about the orientability of the pseudo-equilibrium manifold in the basic two-period General Equilibrium with Incomplete markets (GEI) model. For a broad class of
Philippe Bich
core   +2 more sources

On locally conformal Kähler space forms

International Journal of Mathematics and Mathematical Sciences, 1985
An m-dimensional locally conformal Kähler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed l-form αλ (called the Lee form) whose structure (Fμλ,gμλ) satisfies ∇νFμλ=−βμgνλ+βλgνμ−αμFνλ+αλFνμ, where ∇λ denotes ...
Koji Matsumoto
doaj   +1 more source

Weak Kähler hyperbolicity is birational [PDF]

We show that a compact Kähler manifold bimeromorphic to a weakly Kähler hyperbolic manifold is weakly Kähler hyperbolic, providing an answer to a problem raised by J.
Diverio, Simone, Bei, Francesco, Claudon, Benoît, Trapani, Stefano   +3 more
core   +1 more source

Construction of an A-manifold on a principal torus bundle

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition.
Grzegorz Zborowski
doaj  

Poincaré-Cartan Class And Deformation Quantization Of Kähler Manifolds

, 2007
We introduce a complete invariant for Weyl manifolds, called a Poincaré-Cartan class. Applying the constructions of Weyl manifold to complex manifolds via the Poincaré-Cartan class, we propose the notion of noncommutative Kähler manifold.
Akira Yoshioka, Naoya Miyazaki, Akira Yohsioka, Hideki Omori, Yoshiaki Maeda   +4 more
core  

Deformation of Kähler manifolds

, 2013
It has been shown by Claire Voisin in 2003 that one cannot always deform a compact Kähler manifold into a projective algebraic manifold, thereby answering negatively a question raised by Kodaira.
Cao, Junyan
core   +1 more source