The flat strip theorem fails for surfaces with no conjugate points

Keith Burns

doi:10.1090/S0002-9939-1992-1093593-0

The flat strip theorem fails for surfaces with no conjugate points

Keith Burns^*

^*Corresponding author for this work

Mathematics

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

12 Scopus citations

Abstract

A compact C^∞ surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.

Original language	English (US)
Pages (from-to)	199-206
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	115
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1992-1093593-0
State	Published - May 1992

Keywords

Flat strip theorem
No conjugate points

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-1992-1093593-0

Cite this

@article{f622aa65b05240cea79b04dbced3b925,

title = "The flat strip theorem fails for surfaces with no conjugate points",

abstract = "A compact C∞ surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.",

keywords = "Flat strip theorem, No conjugate points",

author = "Keith Burns",

year = "1992",

month = may,

doi = "10.1090/S0002-9939-1992-1093593-0",

language = "English (US)",

volume = "115",

pages = "199--206",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - The flat strip theorem fails for surfaces with no conjugate points

AU - Burns, Keith

PY - 1992/5

Y1 - 1992/5

N2 - A compact C∞ surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.

AB - A compact C∞ surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.

KW - Flat strip theorem

KW - No conjugate points

UR - http://www.scopus.com/inward/record.url?scp=84966214420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966214420&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1992-1093593-0

DO - 10.1090/S0002-9939-1992-1093593-0

M3 - Article

AN - SCOPUS:84966214420

SN - 0002-9939

VL - 115

SP - 199

EP - 206

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

The flat strip theorem fails for surfaces with no conjugate points

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this