R1m+1中拟迷向类空超曲面

Xiu Ji; Tong Zhu Li

R₁^m+1中拟迷向类空超曲面

Translated title of the contribution: Para-isotropic Spacelike Hypersurfaces in R₁^m+1

Xiu Ji, Tong Zhu Li

School of Mathematics and Statistics

Beijing Institute of Technology

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

Abstract

Let f:M^m → R₁^m+1 be an umbilic-free spacelike hypersurface. Four basic conformal invariants of M^m are the conformal metric g, the conformal 1-form C, the conformal second fundamental form B, and the conformal Blaschke tensor A. M^m is called the para-isotropic spacelike hypersurface, if A + μB=λg for some constant μ and smooth function λ. We not only constructed examples which are para-isotropic spacelike hypersurfaces but also classified completely all para-isotropic spacelike hypersurfaces under the conformal transformal group of R₁^m+1 in this paper.

Translated title of the contribution	Para-isotropic Spacelike Hypersurfaces in R₁^m+1
Original language	Chinese (Traditional)
Pages (from-to)	47-58
Number of pages	12
Journal	Acta Mathematica Sinica, Chinese Series
Volume	64
Issue number	1
Publication status	Published - 15 Jan 2021

Cite this

@article{50717be673244067ba89ca75961ef799,

title = "R1m+1中拟迷向类空超曲面",

abstract = "Let f:Mm → R1m+1 be an umbilic-free spacelike hypersurface. Four basic conformal invariants of Mm are the conformal metric g, the conformal 1-form C, the conformal second fundamental form B, and the conformal Blaschke tensor A. Mm is called the para-isotropic spacelike hypersurface, if A + μB=λg for some constant μ and smooth function λ. We not only constructed examples which are para-isotropic spacelike hypersurfaces but also classified completely all para-isotropic spacelike hypersurfaces under the conformal transformal group of R1m+1 in this paper.",

keywords = "Conformal metric, Conformal quasi Blaschke tensor, Conformal second fundamental form",

author = "Xiu Ji and Li, {Tong Zhu}",

year = "2021",

month = jan,

day = "15",

language = "繁体中文",

volume = "64",

pages = "47--58",

journal = "Acta Mathematica Sinica, Chinese Series",

issn = "0583-1431",

publisher = "shu xue xue bao bian ji bu",

number = "1",

}

TY - JOUR

T1 - R1m+1中拟迷向类空超曲面

AU - Ji, Xiu

AU - Li, Tong Zhu

PY - 2021/1/15

Y1 - 2021/1/15

N2 - Let f:Mm → R1m+1 be an umbilic-free spacelike hypersurface. Four basic conformal invariants of Mm are the conformal metric g, the conformal 1-form C, the conformal second fundamental form B, and the conformal Blaschke tensor A. Mm is called the para-isotropic spacelike hypersurface, if A + μB=λg for some constant μ and smooth function λ. We not only constructed examples which are para-isotropic spacelike hypersurfaces but also classified completely all para-isotropic spacelike hypersurfaces under the conformal transformal group of R1m+1 in this paper.

AB - Let f:Mm → R1m+1 be an umbilic-free spacelike hypersurface. Four basic conformal invariants of Mm are the conformal metric g, the conformal 1-form C, the conformal second fundamental form B, and the conformal Blaschke tensor A. Mm is called the para-isotropic spacelike hypersurface, if A + μB=λg for some constant μ and smooth function λ. We not only constructed examples which are para-isotropic spacelike hypersurfaces but also classified completely all para-isotropic spacelike hypersurfaces under the conformal transformal group of R1m+1 in this paper.

KW - Conformal metric

KW - Conformal quasi Blaschke tensor

KW - Conformal second fundamental form

UR - http://www.scopus.com/inward/record.url?scp=85099809150&partnerID=8YFLogxK

M3 - 文章

AN - SCOPUS:85099809150

SN - 0583-1431

VL - 64

SP - 47

EP - 58

JO - Acta Mathematica Sinica, Chinese Series

JF - Acta Mathematica Sinica, Chinese Series

IS - 1

ER -

R₁^m+1中拟迷向类空超曲面

Abstract

Other files and links

Fingerprint

Cite this