scholarly journals A SUBFOLIATION OF A CR-FOLIATION ON A LOCALLY CONFORMAL ALMOST KAHLER MANIFOLD

2004 ◽  
Vol 41 (5) ◽  
pp. 865-874
Author(s):  
Tae-Wan Kim ◽  
Hong-Kyung Pak
Keyword(s):  
Kähler Manifold ◽  
Kahler Manifold ◽  
Almost Kähler Manifold ◽  
Almost Kähler ◽  
Locally Conformal

A remark on an example of a 6-dimensional Einstein almost-Kähler manifold

2008 ◽  
Vol 88 (1-2) ◽  
pp. 70-74 ◽  
Author(s):  
Keiichiro Hirobe ◽  
Takashi Oguro ◽  
Kouei Sekigawa
Keyword(s):  
Kähler Manifold ◽  
Kahler Manifold ◽  
Almost Kähler Manifold ◽  
Almost Kähler

scholarly journals New Geometric Interpretation of Quaternionic Fueter Functions

2014 ◽  
Vol 47 (4) ◽  
Author(s):  
Wiesław Królikowski
Keyword(s):  
Kähler Manifold ◽  
Geometric Interpretation ◽  
Regular Functions ◽  
Kahler Manifold ◽  
Almost Kähler Manifold ◽  
Almost Kähler

AbstractA correspondence between quaternionic regular functions in the sense of Fueter and fundamental 2-forms on a 4-dimensional almost Kähler manifold is shown.

scholarly journals On some compact almost Kähler locally symmetric space

1998 ◽  
Vol 21 (1) ◽  
pp. 69-72 ◽  
Author(s):  
Takashi Oguro
Keyword(s):  
Symmetric Space ◽  
Scalar Curvature ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Locally Symmetric Space ◽  
Kahler Manifold ◽  
Almost Kähler

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.

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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