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WEIGHTED L2 HARMONIC 1-FORMS AND THE TOPOLOGY AT INFINITY OF COMPLETE NONCOMPACT WEIGHTED MANIFOLDS
- Seo, Keomk Yo;
- Yun, Gabjin
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0초록
In this paper, we prove that a complete noncompact weighted manifold supporting the weighted Sobolev inequality has at least linear weighted volume growth. We also obtain vanishing results and finiteness theorems for the weighted L2 f f -harmonic 1-forms on a complete noncompact weighted manifold supporting the weighted Sobolev inequality.
키워드
topology at infinity; weighted harmonic forms; Weighted manifolds; weighted Sobolev inequality; METRIC-MEASURE-SPACES; MINIMAL HYPERSURFACES; VOLUME GROWTH; SOBOLEV; GEOMETRY; SUBMANIFOLDS; CURVATURE; SPECTRUM
- 제목
- WEIGHTED L2 HARMONIC 1-FORMS AND THE TOPOLOGY AT INFINITY OF COMPLETE NONCOMPACT WEIGHTED MANIFOLDS
- 저자
- Seo, Keomk Yo; Yun, Gabjin
- 발행일
- 2023-12
- 유형
- Article
- 권
- 75
- 호
- 4
- 페이지
- 509 ~ 526
- 언어
- ENG
- 출판사
- Tohoku University, Mathematical Institute
- 발행국가
- 일본
- 분량
- 18 페이지
- ISSN
- P 0040-8735