Riemannian orbifolds with non-negative curvature.

Format:

Book

Thesis/Dissertation

Author/Creator:

Yeroshkin, Dmytro, author.

Contributor:

Ziller, Wolfgang, 1952- degree supervisor.

University of Pennsylvania. Mathematics.

Language:

English

Subjects (All):

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Local Subjects:

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Genre:

Academic theses.

Physical Description:

1 online resource (108 pages)

Contained In:

Dissertation Abstracts International 75-10B(E).

Place of Publication:

[Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor, MI : ProQuest, 2014.

System Details:

Mode of access: World Wide Web.

text file

Summary:

Recent years have seen an increase in the study of orbifolds in connection to Riemannian geometry. We connect this field to one of the fundamental questions in Riemannian geometry, namely, which spaces admit a metric of positive curvature? We give a partial classification of 4 dimensional orbifolds with positive curvature on which a circle acts by isometries. We further study the connection between orbifolds and biquotients - which in the past was one of the main techniques used to construct compact manifolds with positive curvature. In particular, we classify all orbifold biquotients of SU(3). Among those, we show that a certain 5 dimensional orbifold admits a metric of almost positive curvature. Furthermore, we provide some new results on the orbifolds SU(3)//T2 studied by Florit and Ziller.

Notes:

Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.

Adviser: Wolfgang Ziller.

Department: Mathematics.

Thesis Ph.D. University of Pennsylvania 2014.

Local Notes:

School code: 0175.

ISBN:

9781303969522

Access Restriction:

Restricted for use by site license.