Subharmonicity of the Dirichlet Energy and Harmonic Mappings From Kahler Manifolds
Subharmonicity of the Dirichlet Energy and Harmonic Mappings From Kahler Manifolds
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211153131
- ISBN
- 9798346829461
- DDC
- 512.74
- 저자명
- Huang, Che-Hung.
- 서명/저자
- Subharmonicity of the Dirichlet Energy and Harmonic Mappings From Kahler Manifolds
- 발행사항
- [Sl] : Purdue University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 31 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-06, Section: B.
- 주기사항
- Advisor: Yeung, Sai-Kee.
- 학위논문주기
- Thesis (Ph.D.)--Purdue University, 2024.
- 초록/해제
- 요약In this thesis, we provide an application of a Bochner type formula of Siu and Sampson; our main result is as follows [1]: If { M t} t∈∆is a polarized family of compact Kahler manifolds over the open unit disk ∆, if N is a Riemannian manifold satisfying the curvature condition: R N(X, Y, X, Y) ≤ 0 for X, Y ∈ T CN, and if { φ t: M t→ N } t∈∆is a smooth family of pluriharmonic maps, then the Dirichlet energy E( φ t) is a subharmonic function of t ∈ ∆. We also investigate the two natural questions: Under what conditions is the energy E( φ t) strictly subharmonic? What type of families { φ t} t∈∆have constant energy? Some of our answers generalize the results of Tromba [2] and Toledo [3], which concern the case where M tare compact Riemann surfaces. We conclude this thesis with a discussion of examples of subharmonicity of the energy.
- 일반주제명
- Mathematical functions
- 일반주제명
- Decomposition
- 일반주제명
- Energy
- 기타저자
- Purdue University.
- 기본자료저록
- Dissertations Abstracts International. 86-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798346829461
■035 ▼a(MiAaPQ)AAI31786110
■035 ▼a(MiAaPQ)Purdue27679503
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a512.74
■1001 ▼aHuang, Che-Hung.
■24510▼aSubharmonicity of the Dirichlet Energy and Harmonic Mappings From Kahler Manifolds
■260 ▼a[Sl]▼bPurdue University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a31 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-06, Section: B.
■500 ▼aAdvisor: Yeung, Sai-Kee.
■5021 ▼aThesis (Ph.D.)--Purdue University, 2024.
■520 ▼aIn this thesis, we provide an application of a Bochner type formula of Siu and Sampson; our main result is as follows [1]: If { M t} t∈∆is a polarized family of compact Kahler manifolds over the open unit disk ∆, if N is a Riemannian manifold satisfying the curvature condition: R N(X, Y, X, Y) ≤ 0 for X, Y ∈ T CN, and if { φ t: M t→ N } t∈∆is a smooth family of pluriharmonic maps, then the Dirichlet energy E( φ t) is a subharmonic function of t ∈ ∆. We also investigate the two natural questions: Under what conditions is the energy E( φ t) strictly subharmonic? What type of families { φ t} t∈∆have constant energy? Some of our answers generalize the results of Tromba [2] and Toledo [3], which concern the case where M tare compact Riemann surfaces. We conclude this thesis with a discussion of examples of subharmonicity of the energy.
■590 ▼aSchool code: 0183.
■650 4▼aMathematical functions
■650 4▼aDecomposition
■650 4▼aEnergy
■690 ▼a0791
■71020▼aPurdue University.
■7730 ▼tDissertations Abstracts International▼g86-06B.
■790 ▼a0183
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17165169▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
