On 4-dimensional locally conformally flat almost Kähler manifolds
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 215-223
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Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
Classification :
30G35, 53C15
Keywords: almost Kähler manifold; quaternionic analysis; regular function in the sense of Fueter
Keywords: almost Kähler manifold; quaternionic analysis; regular function in the sense of Fueter
@article{ARM_2006__42_3_a1,
author = {Kr\'olikowski, Wies{\l}aw},
title = {On 4-dimensional locally conformally flat almost {K\"ahler} manifolds},
journal = {Archivum mathematicum},
pages = {215--223},
publisher = {mathdoc},
volume = {42},
number = {3},
year = {2006},
mrnumber = {2260379},
zbl = {1164.53383},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a1/}
}
Królikowski, Wiesław. On 4-dimensional locally conformally flat almost Kähler manifolds. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 215-223. http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a1/