scholarly journals On $V$-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form

1980 ◽  
Vol 3 (1) ◽  
pp. 70-82 ◽  
Author(s):  
Toyoko Kashiwada
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Harmonic Forms ◽  
Locally Conformal Kähler ◽  
Locally Conformal ◽  
Lee Form

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.

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