On closed six-manifolds admitting metrics with positive sectional curvature and non-abelian symmetry / Yuhang Liu.

Format:

Book

Manuscript

Thesis/Dissertation

Author/Creator:

Liu, Yuhang, author.

Contributor:

Ziller, Wolfgang, 1952- degree supervisor.

Gluck, Herman, degree committee member.

Block, Jonathan, 1960- degree committee member.

University of Pennsylvania. Department of Mathematics., degree granting institution.

Language:

English

Subjects (All):

Penn dissertations--Mathematics.

Mathematics--Penn dissertations.

Local Subjects:

Penn dissertations--Mathematics.

Mathematics--Penn dissertations.

Physical Description:

v, 49 leaves : illustrations ; 29 cm

Production:

[Philadelphia, Pennsylvania] : University of Pennsylvania, 2019.

Summary:

We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by SU(2) or SO(3). We show that their Euler characteristic agrees with that of the known examples, i.e. S6, CP3, the Wallach space SU(3)=T2 and the biquotient SU(3)==T2. We also classify, up to equivariant dieomorphism, certain actions without exceptional orbits and show that there are strong restrictions on the exceptional strata.

Notes:

Ph. D. University of Pennsylvania 2019.

Department: Mathematics.

Supervisor: Wolfgang Ziller.

Includes bibliographical references.

Other Format:

Online version: Liu, Yuhang. On closed six-manifolds admitting metrics with positive sectional curvature and non-abelian symmetry.

OCLC:

1124076208