서브메뉴
검색
Gravitational Instantons With Conformally Kahler Geometry
Gravitational Instantons With Conformally Kahler Geometry
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103556
- ISBN
- 9798288862427
- DDC
- 510
- 저자명
- Li, Mingyang.
- 서명/저자
- Gravitational Instantons With Conformally Kahler Geometry
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 140 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Sun, Song.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약We investigate the asymptotic geometry of Hermitian non-Kahler Ricci-flat metrics with finite ∫ |Rm|2 at infinity. Specifically, we prove:• Any such metric is asymptotic to an ALE, ALF-A, AF, skewed special Kasner, ALH∗ model, or their finite quotients at infinity.• Any Hermitian non-Kahler gravitational instanton with non-Euclidean volume growth is one of the following: the Kerr family, the Chen-Teo family, the Taub-bolt space, the reversed Taub-NUT space. This particularly confirms a conjecture by Aksteiner-Andersson. It includes the well-known Kerr family from general relativity. • Hermitian non-Kahler ALE gravitational instantons are in one-to-one correspondence with a special kind of Bach-flat Kahler orbifolds. The scalar curvature of the Bach-flat Kahler orbifolds is non-negative, vanishing at the orbifold point while being positive elsewhere. There is no Hermitian non-Kahler ALE gravitational instanton with structure group contained in SU(2), except for the Eguchi-Hanson metric with reversed orientation.• All Hermitian non-Kahler gravitational instantons can be compactified to log del Pezzo surfaces. This explains a curious relation to compact Hermitian non-Kahler Einstein 4-manifolds. For a 4-dimensional Ricci-flat metric, being Hermitian non-Kahler is equivalent to being non-trivially conformally Kahler.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 일반주제명
- Theoretical physics
- 키워드
- Finite quotients
- 키워드
- Pezzo surfaces
- 기타저자
- University of California, Berkeley Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017357760
■00520260202103556
■006m o d
■007cr#unu||||||||
■020 ▼a9798288862427
■035 ▼a(MiAaPQ)AAI32042084
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aLi, Mingyang.
■24510▼aGravitational Instantons With Conformally Kahler Geometry
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a140 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Sun, Song.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aWe investigate the asymptotic geometry of Hermitian non-Kahler Ricci-flat metrics with finite ∫ |Rm|2 at infinity. Specifically, we prove:• Any such metric is asymptotic to an ALE, ALF-A, AF, skewed special Kasner, ALH∗ model, or their finite quotients at infinity.• Any Hermitian non-Kahler gravitational instanton with non-Euclidean volume growth is one of the following: the Kerr family, the Chen-Teo family, the Taub-bolt space, the reversed Taub-NUT space. This particularly confirms a conjecture by Aksteiner-Andersson. It includes the well-known Kerr family from general relativity. • Hermitian non-Kahler ALE gravitational instantons are in one-to-one correspondence with a special kind of Bach-flat Kahler orbifolds. The scalar curvature of the Bach-flat Kahler orbifolds is non-negative, vanishing at the orbifold point while being positive elsewhere. There is no Hermitian non-Kahler ALE gravitational instanton with structure group contained in SU(2), except for the Eguchi-Hanson metric with reversed orientation.• All Hermitian non-Kahler gravitational instantons can be compactified to log del Pezzo surfaces. This explains a curious relation to compact Hermitian non-Kahler Einstein 4-manifolds. For a 4-dimensional Ricci-flat metric, being Hermitian non-Kahler is equivalent to being non-trivially conformally Kahler.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■650 4▼aTheoretical physics
■653 ▼aFinite quotients
■653 ▼aAsymptotic geometry
■653 ▼aGravitational instanton
■653 ▼aPezzo surfaces
■690 ▼a0405
■690 ▼a0642
■690 ▼a0753
■690 ▼a0364
■71020▼aUniversity of California, Berkeley▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357760▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
