Kähler submanifolds and the Umehara algebra

Xiaoliang Cheng; Antonio J. Di Scala; Yuan Yuan

doi:10.1142/S0129167X17500276

Kähler submanifolds and the Umehara algebra

Xiaoliang Cheng, Antonio J. Di Scala, Yuan Yuan

Department of Mathematics

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

10 Scopus citations

Abstract

We show that the indefinite complex space form C^r,s is not a relative to the indefinite complex space form CP^N_l (b) or CH^N _m (b). We further study whether two Fubini?Study spaces are relatives or not.

Original language	English (US)
Article number	1750027
Journal	International Journal of Mathematics
Volume	28
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X17500276
State	Published - Apr 1 2017

Keywords

Complex submanifolds
Fubini-Study spaces
Nash algebraic function
indefinite Kähler metrics
isometric embedding

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1142/S0129167X17500276

Cite this

@article{e9f432583b534da5809b0f8c67bba2e2,

title = "K{\"a}hler submanifolds and the Umehara algebra",

abstract = "We show that the indefinite complex space form Cr,s is not a relative to the indefinite complex space form CPNl (b) or CHN m (b). We further study whether two Fubini?Study spaces are relatives or not.",

keywords = "Complex submanifolds, Fubini-Study spaces, Nash algebraic function, indefinite K{\"a}hler metrics, isometric embedding",

author = "Xiaoliang Cheng and {Di Scala}, {Antonio J.} and Yuan Yuan",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

month = apr,

day = "1",

doi = "10.1142/S0129167X17500276",

language = "English (US)",

volume = "28",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Kähler submanifolds and the Umehara algebra

AU - Cheng, Xiaoliang

AU - Di Scala, Antonio J.

AU - Yuan, Yuan

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We show that the indefinite complex space form Cr,s is not a relative to the indefinite complex space form CPNl (b) or CHN m (b). We further study whether two Fubini?Study spaces are relatives or not.

AB - We show that the indefinite complex space form Cr,s is not a relative to the indefinite complex space form CPNl (b) or CHN m (b). We further study whether two Fubini?Study spaces are relatives or not.

KW - Complex submanifolds

KW - Fubini-Study spaces

KW - Nash algebraic function

KW - indefinite Kähler metrics

KW - isometric embedding

UR - http://www.scopus.com/inward/record.url?scp=85017410916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017410916&partnerID=8YFLogxK

U2 - 10.1142/S0129167X17500276

DO - 10.1142/S0129167X17500276

M3 - Article

AN - SCOPUS:85017410916

SN - 0129-167X

VL - 28

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 4

M1 - 1750027

ER -

Kähler submanifolds and the Umehara algebra

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this