Some compactness results by elliptic operators
In this paper, we get two compactness results for complete manifolds by applying a (sub-) elliptic second-order differential operator on distance functions. The first is an extension of a theorem of Galloway and gets an upper estimate for the diameter of the manifold and the second is an extension o...
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Veröffentlicht in: | Cogent mathematics & statistics 2020-01, Vol.7 (1), p.1857577 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we get two compactness results for complete manifolds by applying a (sub-) elliptic second-order differential operator on distance functions. The first is an extension of a theorem of Galloway and gets an upper estimate for the diameter of the manifold and the second is an extension of a theorem of Ambrose. |
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ISSN: | 2574-2558 2574-2558 |
DOI: | 10.1080/25742558.2020.1857577 |