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On Calabi-Yau Metrics of Calabi Type
On Calabi-Yau Metrics of Calabi Type
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103549
- ISBN
- 9798288862700
- DDC
- 510
- 저자명
- Chen, Yifan.
- 서명/저자
- On Calabi-Yau Metrics of Calabi Type
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 67 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: A.
- 주기사항
- Advisor: Sun, Song.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약In this dissertation, we study complete Calabi-Yau manifolds asymptotic to Calabi model space, which appears in singularity formation and limit of Kahler-Einstein metrics. The first example goes back to Tian-Yau [33], where they constructed Kahler Ricci-flat metrics ωTY in the zero class which is exponentially close to the Calabi model space. The tool was systematically generalized by Hein [17] to a powerful package to find Calabi-Yau metrics. In particular, it implies the existence of Calabi-Yau metrics in the compact-supported Kahler classes, which are also exponentially close to the Calabi model space.Building on previous fundamental work, we further generalized this existence result to noncompact-supported Kahler classes on a type of quasi-projective manifold. Unlike earlier results, these new metrics are not exponentially close, but only polynomially close with a fixed rate. We also proved a uniqueness theorem, which, together with the existence result, gives a relative complete understanding of Calabi-Yau metrics asymptotic to the Calabi model space on this type of quasi-projective manifolds.
- 일반주제명
- Mathematics
- 일반주제명
- Mathematics education
- 기타저자
- University of California, Berkeley Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01A.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798288862700
■035 ▼a(MiAaPQ)AAI32041720
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aChen, Yifan.
■24510▼aOn Calabi-Yau Metrics of Calabi Type
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a67 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: A.
■500 ▼aAdvisor: Sun, Song.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aIn this dissertation, we study complete Calabi-Yau manifolds asymptotic to Calabi model space, which appears in singularity formation and limit of Kahler-Einstein metrics. The first example goes back to Tian-Yau [33], where they constructed Kahler Ricci-flat metrics ωTY in the zero class which is exponentially close to the Calabi model space. The tool was systematically generalized by Hein [17] to a powerful package to find Calabi-Yau metrics. In particular, it implies the existence of Calabi-Yau metrics in the compact-supported Kahler classes, which are also exponentially close to the Calabi model space.Building on previous fundamental work, we further generalized this existence result to noncompact-supported Kahler classes on a type of quasi-projective manifold. Unlike earlier results, these new metrics are not exponentially close, but only polynomially close with a fixed rate. We also proved a uniqueness theorem, which, together with the existence result, gives a relative complete understanding of Calabi-Yau metrics asymptotic to the Calabi model space on this type of quasi-projective manifolds.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aMathematics education
■653 ▼aCalabi-Yau manifolds
■653 ▼aCalabi model space
■690 ▼a0405
■690 ▼a0280
■71020▼aUniversity of California, Berkeley▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-01A.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357710▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
