Myers’ type theorem with the Bakry–Émery Ricci tensor
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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
Boundary effect of m-dimensional Bakry-Émery Ricci curvature
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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
The Bakry-Émery Ricci Tensor: Application to Mass Distribution in Space-time
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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