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Toric Einstein 4-Manifolds With Nonnegative Sectional Curvature / Liu Tianyue.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Tianyue, Liu, author.
- Language:
- English
- Subjects (All):
- Mathematics.
- Applied mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Local Subjects:
- Mathematics.
- Applied mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Physical Description:
- 1 online resource (61 pages)
- Contained In:
- Dissertations Abstracts International 85-12B.
- Place of Publication:
- [Philadelphia, Pennsylvania] : University of Pennsylvania, 2022.
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Language Note:
- English
- Summary:
- We prove that the only T 2 invariant Einstein metrics with nonnegative sectional curvature on closed 1-connected four manifolds are the known examples: the round metric on S 4 , the Fubini-Study metric on CP 2 , or the product metric on S 2 x S 2.
- Notes:
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- Advisors: Ziller, Wolfgang; Committee members: DeTurck, Dennis; Merling, Mona; Maximo, Davi; Gluck, Herman.
- Department: Mathematics.
- Ph.D. University of Pennsylvania 2024.
- Local Notes:
- School code: 0175
- ISBN:
- 9798382830179
- Access Restriction:
- Restricted for use by site license.
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