On locally conformal almost Kähler manifolds

1976 ◽  
Vol 24 (3-4) ◽  
pp. 338-351 ◽  
Author(s):  
Izu Vaisman

Author(s):  
Takashi Oguro

In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric spaceMis a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, thenMis a Kähler manifold.



1995 ◽  
Vol 18 (2) ◽  
pp. 331-340
Author(s):  
M. Hasan shahid ◽  
A. Sharfuddin

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.



2020 ◽  
Vol 199 (5) ◽  
pp. 1815-1842
Author(s):  
Andrea Cattaneo ◽  
Antonella Nannicini ◽  
Adriano Tomassini


1997 ◽  
Vol 48 (192) ◽  
pp. 405-415 ◽  
Author(s):  
J Armstrong


2007 ◽  
Vol 108 (1) ◽  
pp. 7-18
Author(s):  
Włodzimierz Jelonek


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