4-dimensional anti-Kähler manifolds and Weyl curvature

Jaeman Kim

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 1, page 267-271
  • ISSN: 0011-4642

Abstract

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On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.

How to cite

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Kim, Jaeman. "4-dimensional anti-Kähler manifolds and Weyl curvature." Czechoslovak Mathematical Journal 56.1 (2006): 267-271. <http://eudml.org/doc/31027>.

@article{Kim2006,
abstract = {On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.},
author = {Kim, Jaeman},
journal = {Czechoslovak Mathematical Journal},
keywords = {4-dimensional anti-Kähler manifold; zero scalar curvature; Weyl curvature; flat; zero scalar curvature; Weyl curvature; flat},
language = {eng},
number = {1},
pages = {267-271},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {4-dimensional anti-Kähler manifolds and Weyl curvature},
url = {http://eudml.org/doc/31027},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Kim, Jaeman
TI - 4-dimensional anti-Kähler manifolds and Weyl curvature
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 1
SP - 267
EP - 271
AB - On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.
LA - eng
KW - 4-dimensional anti-Kähler manifold; zero scalar curvature; Weyl curvature; flat; zero scalar curvature; Weyl curvature; flat
UR - http://eudml.org/doc/31027
ER -

References

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  1. Einstein manifolds, Springer Verlag, 1987. (1987) MR0867684
  2. Anti-Kählerian Manifolds, Differential Geometry and its Applications 12 (2000), 281–289. (2000) MR1764334

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