Fundamental groups of positively curved manifolds with symmetry

Philipp Frank; Xiaochun Rong; Yusheng Wang

doi:10.1007/s00208-012-0823-z

Fundamental groups of positively curved manifolds with symmetry

Philipp Frank, Xiaochun Rong, Yusheng Wang

School of Arts and Sciences, Mathematics

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

3 Scopus citations

Abstract

We obtain a classification for the fundamental groups of closed n-manifolds of positive sectional curvature which admit an isometric T^k-action with k≥n\6+1(n≠11,15).

Original language	English (US)
Pages (from-to)	1425-1441
Number of pages	17
Journal	Mathematische Annalen
Volume	355
Issue number	4
DOIs	https://doi.org/10.1007/s00208-012-0823-z
State	Published - Apr 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00208-012-0823-z

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title = "Fundamental groups of positively curved manifolds with symmetry",

abstract = "We obtain a classification for the fundamental groups of closed n-manifolds of positive sectional curvature which admit an isometric Tk-action with k≥n\6+1(n≠11,15).",

author = "Philipp Frank and Xiaochun Rong and Yusheng Wang",

note = "Funding Information: P. Frank and X. Rong are supported partially by NSF Grant DMS 1106517 and by a reach found from Capital normal university. Y. Wang is supported partially by NSFC 11001015 and 11171025. ",

year = "2013",

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doi = "10.1007/s00208-012-0823-z",

language = "English (US)",

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issn = "0025-5831",

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T1 - Fundamental groups of positively curved manifolds with symmetry

AU - Frank, Philipp

AU - Rong, Xiaochun

AU - Wang, Yusheng

N1 - Funding Information: P. Frank and X. Rong are supported partially by NSF Grant DMS 1106517 and by a reach found from Capital normal university. Y. Wang is supported partially by NSFC 11001015 and 11171025.

PY - 2013/4

Y1 - 2013/4

N2 - We obtain a classification for the fundamental groups of closed n-manifolds of positive sectional curvature which admit an isometric Tk-action with k≥n\6+1(n≠11,15).

AB - We obtain a classification for the fundamental groups of closed n-manifolds of positive sectional curvature which admit an isometric Tk-action with k≥n\6+1(n≠11,15).

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U2 - 10.1007/s00208-012-0823-z

DO - 10.1007/s00208-012-0823-z

M3 - Article

AN - SCOPUS:84875588167

SN - 0025-5831

VL - 355

SP - 1425

EP - 1441

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 4

ER -

Fundamental groups of positively curved manifolds with symmetry

Abstract

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