Some Geometry and Analysis on Ricci Solitons

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dc.creatorNaber, Aaron
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:44Z
dc.date.available2026-07-07T07:35:44Z
dc.descriptionThe Bakry-Emery Ricci tensor of a metric-measure space (M,g,e^{-f}dv_{g}) plays an important role in both geometric measure theory and the study of Hamilton's Ricci flow. Under a uniform positivity condition on this tensor and with bounded Ricci curvature we show the underlying space has finite f-volume. As a consequence such manifolds, including shrinking Ricci solitons, have finite fundamental group. The analysis can be extended to classify shrinking solitons under convexity or concavity assumptions on the measure function.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0612532
dc.identifierhttp://arxiv.org/abs/math/0612532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120194
dc.subjectDifferential Geometry
dc.subject53C21; 53C44
dc.titleSome Geometry and Analysis on Ricci Solitons
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