Articles with "bakry mery" as a keyword



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Myers’ type theorem with the Bakry–Émery Ricci tensor

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Published in 2017 at "Annals of Global Analysis and Geometry"

DOI: 10.1007/s10455-018-9613-5

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… read more here.

Keywords: bakry mery; mery ricci; myers type; ricci tensor ... See more keywords
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Boundary effect of m-dimensional Bakry-Émery Ricci curvature

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Published in 2018 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-018-0237-5

Abstract: We consider how m-dimensional Bakry-Émery Ricci curvature affects the geometry of the boundary $$\partial M$$∂M. By using the Reilly’s formula with respect to f-Laplacian, geometric inequalities involving f-mean curvature are obtained. Furthermore, we also achieve… read more here.

Keywords: mery ricci; ricci curvature; bakry mery; dimensional bakry ... See more keywords
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The Bakry-Émery Ricci Tensor: Application to Mass Distribution in Space-time

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Published in 2019 at "Gravitation and Cosmology"

DOI: 10.1134/s0202289321010096

Abstract: Abstract The Bakry-Émery Ricci tensor gives an analogue of the Ricci tensor for a Riemannian manifold with a smooth function. This notion motivates a new version of Einstein’s field equation in which the mass becomes… read more here.

Keywords: ricci; bakry mery; mery ricci; ricci tensor ... See more keywords