Fundamental groups of positively curved n-manifolds with symmetry rank > n/6

Xiaochun Rong; Yusheng Wang

doi:10.1142/S0219199708003174

Fundamental groups of positively curved n-manifolds with symmetry rank > n/6

Xiaochun Rong, Yusheng Wang

School of Arts and Sciences, Mathematics

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

3 Scopus citations

Abstract

In this paper, we obtain a classification for the fundamental groups of positively curved n-manifolds which admit isometric torus T^k-actions with k > n/6 and n < 25.

Original language	English (US)
Pages (from-to)	1075-1091
Number of pages	17
Journal	Communications in Contemporary Mathematics
Volume	10
Issue number	SUPPL. 1
DOIs	https://doi.org/10.1142/S0219199708003174
State	Published - Nov 2008

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

Fundamental group
Positive sectional curvature
Torus action

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10.1142/S0219199708003174

Cite this

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title = "Fundamental groups of positively curved n-manifolds with symmetry rank > n/6",

abstract = "In this paper, we obtain a classification for the fundamental groups of positively curved n-manifolds which admit isometric torus Tk-actions with k > n/6 and n < 25.",

keywords = "Fundamental group, Positive sectional curvature, Torus action",

author = "Xiaochun Rong and Yusheng Wang",

note = "Funding Information: ∗Supported partially by NSF Grant university. †Supported by NSFC 10671018.",

year = "2008",

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doi = "10.1142/S0219199708003174",

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T1 - Fundamental groups of positively curved n-manifolds with symmetry rank > n/6

AU - Rong, Xiaochun

AU - Wang, Yusheng

N1 - Funding Information: ∗Supported partially by NSF Grant university. †Supported by NSFC 10671018.

PY - 2008/11

Y1 - 2008/11

N2 - In this paper, we obtain a classification for the fundamental groups of positively curved n-manifolds which admit isometric torus Tk-actions with k > n/6 and n < 25.

AB - In this paper, we obtain a classification for the fundamental groups of positively curved n-manifolds which admit isometric torus Tk-actions with k > n/6 and n < 25.

KW - Fundamental group

KW - Positive sectional curvature

KW - Torus action

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JF - Communications in Contemporary Mathematics

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Fundamental groups of positively curved n-manifolds with symmetry rank > n/6

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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