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In this paper, we prove a new Myers’ type diameter estimate on a complete connected Reimannian manifold which admits a bounded vector field such that the Bakry–Émery Ricci tensor has… Click to show full abstract
In this paper, we prove a new Myers’ type diameter estimate on a complete connected Reimannian manifold which admits a bounded vector field such that the Bakry–Émery Ricci tensor has a positive lower bound. The result is sharper than previous Myers’ type results. The proof uses the generalized mean curvature comparison applied to the excess function instead of the classical second variation of geodesics.
Keywords:
bakry mery;
mery ricci;
myers type;
ricci tensor
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2017
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!