The canonical foliations of a locally conformal Kähler manifold

1985 ◽  
Vol 141 (1) ◽  
pp. 289-305 ◽  
Author(s):  
Bang -yen Chen ◽  
Paolo Piccinni
Keyword(s):  
Kähler Manifold ◽  
Kahler Manifold ◽  
Locally Conformal Kähler ◽  
Locally Conformal

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

1995 ◽  
Vol 18 (2) ◽  
pp. 331-340
Author(s):  
M. Hasan shahid ◽  
A. Sharfuddin
Keyword(s):  
Necessary Conditions ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Kahler Manifold ◽  
Generic Submanifolds ◽  
Locally Conformal Kähler ◽  
Generic Submanifold ◽  
Locally Conformal ◽  
Totally Real

The study ofCR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared onCR-submanifolds of a Kähler manifold. Also, it has been studied that generic submanifolds of Kähler manifolds [2] are generalisations of holomorphic submanifolds, totally real submanifolds andCR-submanifolds of Kähler manifolds. On the other hand, many examplesC2of generic surfaces in which are notCR-submanifolds have been given by Chen [3] and this leads to the present paper where we obtain some necessary conditions for a generic submanifolds in a locally conformal Kähler manifold with four canonical strucrures, denoted byP,F,tandf, to have parallelP,Fandt. We also prove that for a generic submanifold of a locally conformal Kähler manifold,Fis parallel ifftis parallel.

A NOTE ON THE MORSE–NOVIKOV COHOMOLOGY OF BLOW-UPS OF LOCALLY CONFORMAL KÄHLER MANIFOLDS

2014 ◽  
Vol 91 (1) ◽  
pp. 155-166 ◽  
Author(s):  
XIANGDONG YANG ◽  
GUOSONG ZHAO
Keyword(s):  
Blow Up ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Kahler Manifold ◽  
Locally Conformal Kähler ◽  
Locally Conformal

AbstractWe prove a blow-up formula for Morse–Novikov cohomology on a compact locally conformal Kähler manifold.

scholarly journals The Concircular Curvature Tensor Of The Locally Conformal Kahler Manifold

2019 ◽  
Vol 24 (7) ◽  
pp. 110
Author(s):  
Ali Abdalmajed. Shihab1 ◽  
Dheyaa Nathim Ahmed2
Keyword(s):  
Curvature Tensor ◽  
Kähler Manifold ◽  
Riemannian Curvature ◽  
Classical Symmetry ◽  
Kahler Manifold ◽  
Symmetry Properties ◽  
Conharmonic Curvature Tensor ◽  
Locally Conformal Kähler ◽  
Concircular Curvature Tensor ◽  
Locally Conformal

In this research, we are calculated components conharmonic curvature tensor in some aspects Hermeation manifolding in particular of the Locally Conformal Kahler manifold. And we prove that this tensor possesses the classical symmetry properties of the Riemannian curvature. They also, establish relationships between the components of the tensor in this manifold   http://dx.doi.org/10.25130/tjps.24.2019.137

HEISENBERG, SPHERICAL CR-GEOMETRY AND BOCHNER FLAT LOCALLY CONFORMAL KÄHLER MANIFOLDS

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1089-1116
Author(s):  
YOSHINOBU KAMISHIMA
Keyword(s):  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Cr Geometry ◽  
Survey Article ◽  
Kahler Manifold ◽  
Locally Conformal Kähler ◽  
Spherical Cr Manifolds ◽  
Locally Conformal ◽  
The Relationship

This is a survey article for the relationship between spherical CR-manifolds and Bochner flat Kähler manifolds. We shall give a uniformization of Bochner flat Kähler manifolds. A Bochner flat locally conformal Kähler manifold is a locally conformal Kähler manifold with vanishing Bochner curvature tensor. We shall apply our result to Bochner flat locally conformal Kähler manifolds.

scholarly journals Relative non-pluripolar product of currents

2021 ◽  
Author(s):  
Duc-Viet Vu
Keyword(s):  
Kähler Manifold ◽  
Monotonicity Property ◽  
Necessary Condition ◽  
Positive Current ◽  
Lelong Numbers ◽  
Kahler Manifold ◽  
Closed Positive Current ◽  
Positive Currents ◽  
Compact Kähler Manifold

AbstractLet X be a compact Kähler manifold. Let $$T_1, \ldots , T_m$$ T 1 , … , T m be closed positive currents of bi-degree (1, 1) on X and T an arbitrary closed positive current on X. We introduce the non-pluripolar product relative to T of $$T_1, \ldots , T_m$$ T 1 , … , T m . We recover the well-known non-pluripolar product of $$T_1, \ldots , T_m$$ T 1 , … , T m when T is the current of integration along X. Our main results are a monotonicity property of relative non-pluripolar products, a necessary condition for currents to be of relative full mass intersection in terms of Lelong numbers, and the convexity of weighted classes of currents of relative full mass intersection. The former two results are new even when T is the current of integration along X.

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