Doubly warped product CR-submanifolds in locally conformal Kähler manifolds

2007 ◽  
Vol 150 (4) ◽  
pp. 333-342 ◽  
Author(s):  
Marian Ioan Munteanu
Keyword(s):  
Warped Product ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Locally Conformal Kähler ◽  
Locally Conformal ◽  
Cr Submanifolds

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.

Sign in / Sign up

Export Citation Format

Share Document