Some Myers-Type Theorems and Comparison Theorems for Manifolds with Modified Ricci Curvature

نویسندگان

چکیده

In this paper we establish some new compactness criteria for complete Riemannian manifolds with Bakry-\'Emery Ricci curvature bounded below. These results improve or generalize previous ones obtained by H. Tadano [6], J. Wan [7], I.A. Kaboye and M. Bazanfar\'e [3]. We also prove a volume comparison theorem such manifolds.

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ژورنال

عنوان ژورنال: International electronic journal of geometry

سال: 2021

ISSN: ['1307-5624']

DOI: https://doi.org/10.36890/iejg.819887