Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.
For any information, please send an e-mail to dgseminar.torino@gmail.com.
The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino).
NEXT TALK
26/03/2026, 15.00, Aula Consulenze, Department of Mathematical Sciences "G. L. Lagrange", Politecnico di Torino.
Some geometric equations in Riemannian manifolds with density
Abstract: Manifolds with density, also known as smooth metric measure spaces, arise through the modification of the standard Riemannian volume element of a Riemannian manifold (M,g) via the introduction of a smooth density function f. Notions of manifolds with density appear in numerous contexts (geometric flows, functional inequalities…), and they give rise to well-known weighted structures such as gradient Ricci solitons or quasi-Einstein metrics, among others. In this talk, we will go over some classification results for weighted Einstein manifolds, a natural generalization of quasi-Einstein metrics, under conditions on weighted objects related to the conformal behavior of manifolds with density. In particular, we will discuss a harmonicity condition on the weighted Weyl tensor, and the geometry of weighted conformal classes admitting several nonhomothetic weighted Einstein structures. This is joint work with Miguel Brozos-Vázquez and Eduardo García-Río.
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