NEW VOLUME COMPARISON WITH ALMOST RICCI SOLITON

NEW VOLUME COMPARISON WITH ALMOST RICCI SOLITON

In this paper we consider a condition on the Ricci curvature involving vector fields which enabled us to achieve new results for volume comparison and Laplacian comparison. These results in special case obtained with considering volume non-collapsing condition. Also, by applying this condition we ge...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2022, 37(3), , pp.839-849
Hauptverfasser: azami, Shahroud, Hajiaghasi, Sakineh
Format: Artikel
Sprache:eng ; kor
Schlagworte:
수학
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Zusammenfassung:In this paper we consider a condition on the Ricci curvature involving vector fields which enabled us to achieve new results for volume comparison and Laplacian comparison. These results in special case obtained with considering volume non-collapsing condition. Also, by applying this condition we get new results of volume comparison for almost Ricci solitons.
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c210097