Results 11 to 20 of about 148,144 (172)

Neutral Slant Submanifolds of a Para-Kähler Manifold [PDF]

Abstract and Applied Analysis, 2013
We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. We also
Yılmaz Gündüzalp
doaj   +2 more sources

On the Geometry of the Kähler Golden Manifold

Axioms
The main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita ...
Cristina Elena Hreţcanu, Valeria Şutu (Cîrlan)   +1 more
doaj   +2 more sources

Strongly not relatives Kähler manifolds [PDF]

Complex Manifolds, 2017
In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the ...
Zedda Michela
doaj   +2 more sources

(Para-)Hermitian and (para-)Kähler submanifolds of a para-quaternionic Kähler manifold [PDF]

, 2012
On a para-quaternionic Kähler manifold (M˜4n,Q,g˜), which is first of all a pseudo-Riemannian manifold, a natural definition of (almost) Kähler and (almost) para-Kähler submanifold (M2m,J,g) can be given where J=J1|TM is a (para-)complex structure on M ...
Vaccaro, Massimo
core   +1 more source

Compact lcK manifolds with parallel vector fields

Complex Manifolds, 2015
We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n ...
Moroianu Andrei
doaj   +1 more source

Symmetries of quaternionic Kähler manifolds with S1‐symmetry

Transactions of the London Mathematical Society, 2021
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
doaj   +1 more source

Almost Kähler Deformation Quantization [PDF]

, 2000
We use a natural affine connection with nontrivial torsion on an arbitrary almost-Kähler manifold which respects the almost-Kähler structure to construct a Fedosov-type deformation quantization on this ...
Schlichenmaier, Martin, Karabegov, Alexander, Karabegov, Alexander V.   +2 more
core   +2 more sources

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

International Journal of Mathematics and Mathematical Sciences, 1995
The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
doaj   +1 more source

Kählerian Information Geometry for Signal Processing

Entropy, 2015
We prove the correspondence between the information geometry of a signal filter and a Kähler manifold. The information geometry of a minimum-phase linear system with a finite complex cepstrum norm is a Kähler manifold.
Jaehyung Choi, Andrew P. Mullhaupt
doaj   +1 more source

A Liouville Property of Holomorphic Maps

The Scientific World Journal, 2013
We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
Chengjie Yu
doaj   +1 more source