On 4-dimensional locally conformally flat almost Kähler manifolds

Wiesław Królikowski

On 4-dimensional locally conformally flat almost Kähler manifolds

Wiesław Królikowski^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	215-223
Number of pages	9
Journal	Archivum Mathematicum
Volume	42
Issue number	3
Publication status	Published - 2006

Cite this

@article{b453dcf46eed4bdab30e0e5d7f03742f,

title = "On 4-dimensional locally conformally flat almost K{\"a}hler manifolds",

abstract = "Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost K{\"a}hler manifolds which are locally conformally flat with a metric of a special form.",

keywords = "Almost K{\"a}hler manifold, Quaternionic analysis, Regular function in the sense of Fueter",

author = "Wies{\l}aw Kr{\'o}likowski",

year = "2006",

language = "English",

volume = "42",

pages = "215--223",

journal = "Archivum Mathematicum",

issn = "0044-8753",

publisher = "Masarykova Universita",

number = "3",

}

TY - JOUR

T1 - On 4-dimensional locally conformally flat almost Kähler manifolds

AU - Królikowski, Wiesław

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Almost Kähler manifold

KW - Quaternionic analysis

KW - Regular function in the sense of Fueter

UR - http://www.scopus.com/inward/record.url?scp=33749420127&partnerID=8YFLogxK

M3 - Article

SN - 0044-8753

VL - 42

SP - 215

EP - 223

JO - Archivum Mathematicum

JF - Archivum Mathematicum

IS - 3

ER -

On 4-dimensional locally conformally flat almost Kähler manifolds

Abstract

Other files and links

Fingerprint

Cite this