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New volume comparison with almost Ricci soliton

Shahroud Azami|Sakineh Hajiaghasi
대한수학회 (The Korean Mathematical Society)|2022.07|대한수학회논문집 (Communications of the KMS)|제37권 제3호|pp. 839-849|DOI 10.4134/CKMS.c210097

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참고문헌

키워드

Volume comparisonBakry-\'{E}mery Ricci curvature
주제분류수학

초록

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.

Abstract

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.

참고문헌 (15)

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