Homogeneous Einstein-like metrics on spheres and projective spaces

Chia Kuei Peng; Chao Qian

doi:10.1016/j.difgeo.2015.10.001

Homogeneous Einstein-like metrics on spheres and projective spaces

Chia Kuei Peng, Chao Qian^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Chinese Academy of Sciences

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

8 Citations (Scopus)

Abstract

A. Gray introduced A-metrics and B-metrics, which are natural generalizations of Einstein metrics. In this paper, homogeneous A-metrics and B-metrics on spheres and projective spaces are classified.

Original language	English
Pages (from-to)	63-76
Number of pages	14
Journal	Differential Geometry and its Application
Volume	44
DOIs	https://doi.org/10.1016/j.difgeo.2015.10.001
Publication status	Published - 1 Feb 2016

Keywords

A-metric
B-metric
Einstein-like metric
Homogeneous space

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10.1016/j.difgeo.2015.10.001

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title = "Homogeneous Einstein-like metrics on spheres and projective spaces",

abstract = "A. Gray introduced A-metrics and B-metrics, which are natural generalizations of Einstein metrics. In this paper, homogeneous A-metrics and B-metrics on spheres and projective spaces are classified.",

keywords = "A-metric, B-metric, Einstein-like metric, Homogeneous space",

author = "Peng, {Chia Kuei} and Chao Qian",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2016",

month = feb,

day = "1",

doi = "10.1016/j.difgeo.2015.10.001",

language = "English",

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journal = "Differential Geometry and its Application",

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T1 - Homogeneous Einstein-like metrics on spheres and projective spaces

AU - Peng, Chia Kuei

AU - Qian, Chao

PY - 2016/2/1

Y1 - 2016/2/1

N2 - A. Gray introduced A-metrics and B-metrics, which are natural generalizations of Einstein metrics. In this paper, homogeneous A-metrics and B-metrics on spheres and projective spaces are classified.

AB - A. Gray introduced A-metrics and B-metrics, which are natural generalizations of Einstein metrics. In this paper, homogeneous A-metrics and B-metrics on spheres and projective spaces are classified.

KW - A-metric

KW - B-metric

KW - Einstein-like metric

KW - Homogeneous space

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U2 - 10.1016/j.difgeo.2015.10.001

DO - 10.1016/j.difgeo.2015.10.001

M3 - Article

AN - SCOPUS:84946831355

SN - 0926-2245

VL - 44

SP - 63

EP - 76

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

ER -

Homogeneous Einstein-like metrics on spheres and projective spaces

Abstract

Keywords

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