Positive sectional curvature on 3-Sasakian manifolds

Owen Dearricott

doi:10.1023/B:AGAG.0000011808.36001.f4

Positive sectional curvature on 3-Sasakian manifolds

Owen Dearricott^*

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

We announce the existence of metrics of positive sectional curvature on the 3-Sasakian reductions of S¹¹ by an isometric circle action.

Original language	English
Pages (from-to)	59-72
Number of pages	14
Journal	Annals of Global Analysis and Geometry
Volume	25
Issue number	1
DOIs	https://doi.org/10.1023/B:AGAG.0000011808.36001.f4
Publication status	Published - Mar 2004
Externally published	Yes

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title = "Positive sectional curvature on 3-Sasakian manifolds",

abstract = "We announce the existence of metrics of positive sectional curvature on the 3-Sasakian reductions of S11 by an isometric circle action.",

keywords = "3-Sasakian, Positive sectional curvature, Quaternionic K{\"a}hler orbifold",

author = "Owen Dearricott",

year = "2004",

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doi = "10.1023/B:AGAG.0000011808.36001.f4",

language = "English",

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journal = "Annals of Global Analysis and Geometry",

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PY - 2004/3

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AB - We announce the existence of metrics of positive sectional curvature on the 3-Sasakian reductions of S11 by an isometric circle action.

KW - 3-Sasakian

KW - Positive sectional curvature

KW - Quaternionic Kähler orbifold

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DO - 10.1023/B:AGAG.0000011808.36001.f4

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SN - 0232-704X

VL - 25

SP - 59

EP - 72

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 1

ER -

Positive sectional curvature on 3-Sasakian manifolds

Abstract

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