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
Hauptverfasser: Azami, Shahroud, Fatemi, Seyed Hamed
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.
ISSN:2574-2558
2574-2558
DOI:10.1080/25742558.2020.1857577