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Invariant Metrics with Nonnegative Curvature on Compact Lie Groups

Published online by Cambridge University Press:  20 November 2018

Nathan Brown ,
Rachel Finck ,
Matthew Spencer ,
Kristopher Tapp  and
Zhongtao Wu
Nathan Brown
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305-2125, U.S.A. e-mail: nbrown@math.stanford.edurfinck@alum.mit.edu
Rachel Finck
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305-2125, U.S.A. e-mail: nbrown@math.stanford.edurfinck@alum.mit.edu
Matthew Spencer
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912 e-mail: mpsprs@gmail.com
Kristopher Tapp
Affiliation:
Department of Mathematics, Williams College, Williamstown, MA 01267, U.S.A. e-mail: ktapp@williams.ed
Zhongtao Wu
Affiliation:
88 College Road, Princeton, MA 08544, U.S.A. e-mail: ztwu@alum.mit.edu
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Abstract

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We classify the left-invariant metrics with nonnegative sectional curvature on $\text{SO}\left( 3 \right)$ and $U\left( 2 \right)$.

Keywords

53C20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 24 - 34
Copyright
Copyright © Canadian Mathematical Society 2007

References

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