L2 harmonic forms and the structure of complete manifolds
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| Format: | Artículo científico |
| Language: | en |
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Escuela Regional de Matemáticas
2007
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| _version_ | 1876464957139189760 |
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| author | Nelia Charalambous |
| author_facet | Nelia Charalambous |
| contents | L2 harmonic forms and the structure of complete manifolds Nelia Charalambous Física, Astronomía y Matemáticas Harmonic Forms Hodge Laplacian Bochner Technique In this paper we discuss the relation between the existence of L2 harmonic one-forms ona complete noncompact manifold and its structure. In particular, we prove an improvedBochner inequality for L2 harmonic one-forms and demonstrate that in the equality casethe set of L2 harmonic one-forms spans a totally geodesic submanifold 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46809908 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.Esp Vol.XV |
| format | Artículo científico |
| id | redalyc_46809908 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | L2 harmonic forms and the structure of complete manifolds Nelia Charalambous Física, Astronomía y Matemáticas Harmonic Forms Hodge Laplacian Bochner Technique L2 harmonic forms and the structure of complete manifolds Nelia Charalambous Física, Astronomía y Matemáticas Harmonic Forms Hodge Laplacian Bochner Technique In this paper we discuss the relation between the existence of L2 harmonic one-forms ona complete noncompact manifold and its structure. In particular, we prove an improvedBochner inequality for L2 harmonic one-forms and demonstrate that in the equality casethe set of L2 harmonic one-forms spans a totally geodesic submanifold 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46809908 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.Esp Vol.XV |
| title | L2 harmonic forms and the structure of complete manifolds |
| topic | Física, Astronomía y Matemáticas Harmonic Forms Hodge Laplacian Bochner Technique |
| url | https://www.redalyc.org/articulo.oa?id=46809908 |