The first diameter of 3-manifolds of positive scalar curvature

Mikhail Katz

doi:10.1090/S0002-9939-1988-0962834-9

The first diameter of 3-manifolds of positive scalar curvature

Mikhail Katz

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

7 Scopus citations

Abstract

We see;…niversal upper bound for the first diameter of 3-manifolds of scalar curvature ≥ +1. We find it in the case of finite fundamental group by usin;…ombinatorial theorem about finite trees, and in the case when π₁ is infinite cyclic by usin;…eak notion o;…#x03C0;₁-equivariant Busemann function.

Original language	English
Pages (from-to)	591-595
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	104
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1988-0962834-9
State	Published - 1 Oct 1988
Externally published	Yes

Access to Document

10.1090/S0002-9939-1988-0962834-9

Cite this

@article{d0a509cba6c5422fa91d02df734f21bb,

title = "The first diameter of 3-manifolds of positive scalar curvature",

abstract = "We see;…niversal upper bound for the first diameter of 3-manifolds of scalar curvature ≥ +1. We find it in the case of finite fundamental group by usin;…ombinatorial theorem about finite trees, and in the case when π1 is infinite cyclic by usin;…eak notion o;…#x03C0;1-equivariant Busemann function.",

author = "Mikhail Katz",

year = "1988",

month = oct,

day = "1",

doi = "10.1090/S0002-9939-1988-0962834-9",

language = "אנגלית",

volume = "104",

pages = "591--595",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - The first diameter of 3-manifolds of positive scalar curvature

AU - Katz, Mikhail

PY - 1988/10/1

Y1 - 1988/10/1

N2 - We see;…niversal upper bound for the first diameter of 3-manifolds of scalar curvature ≥ +1. We find it in the case of finite fundamental group by usin;…ombinatorial theorem about finite trees, and in the case when π1 is infinite cyclic by usin;…eak notion o;…#x03C0;1-equivariant Busemann function.

AB - We see;…niversal upper bound for the first diameter of 3-manifolds of scalar curvature ≥ +1. We find it in the case of finite fundamental group by usin;…ombinatorial theorem about finite trees, and in the case when π1 is infinite cyclic by usin;…eak notion o;…#x03C0;1-equivariant Busemann function.

UR - http://www.scopus.com/inward/record.url?scp=84968502694&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1988-0962834-9

DO - 10.1090/S0002-9939-1988-0962834-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84968502694

SN - 0002-9939

VL - 104

SP - 591

EP - 595

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

The first diameter of 3-manifolds of positive scalar curvature

Abstract

Access to Document

Other files and links

Fingerprint

Cite this