[CvGmt News] CVGMT weekly bulletin
web at cvgmt.sns.it
web at cvgmt.sns.it
Fri Jan 20 12:00:02 CET 2012
Weekly bulletin of http://cvgmt.sns.it/
--- Summary ---
* Seminars by: Mazzieri
* New papers by: Bonforte, Figalli, Barles, Cesaroni, Novaga, Chambolle, Morini, Ponsiglione, Chiodaroli, Chiodaroli, Magnani, Magnani, Magnani, Rajala
* Modified papers by: Bardi, Terrone, Ansini, Zeppieri
--- Seminars next week ---
* Wednesday 25 jan 2012
time: 17:00
Sala Seminari, Department of Mathematics, University of Pisa
Gradient Einstein solitons
Lorenzo Mazzieri (SISSA Trieste)
Abstract. Einstein solitons are self-similar solutions to the geometric flow
dg/dt = - 2 Ric + R g ,
where Ric and R are respectively the Ricci tensor and the
scalar curvature of the metric g.
A gradient Einstein soliton corresponds to a Riemannian
manifold (M,g) such that there exists a smooth function f
satisfying
Ric - (R/2) g + Hess(f) = c g,
for some real number c. We will prove that if grad(f) is not
parallel (in which case the soliton is trivial), then there
exists a real function h such that f(p) = h(r(p)), where r is
the signed distance to a fixed regular level set of f. When
this happens, the soliton is said to be rectifiable. In the
second part of the seminar we will present some of the
geometric consequences of the rectifiability.
--- New Papers ---
* Bonforte, Figalli: Total Variation Flow and Sign Fast Diffusion in one dimension
* Barles, Cesaroni, Novaga: Homogenization of fronts in highly heterogeneous media
* Chambolle, Morini, Ponsiglione: A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation
* Chiodaroli: A COUNTEREXAMPLE TO WELL-POSEDNESS OF ENTROPY SOLUTIONS TO THE COMPRESSIBLE EULER SYSTEM
* Chiodaroli: A DISSIPATIVE MODEL FOR HYDROGEN STORAGE: EXISTENCE AND REGULARITY RESULTS
* Magnani: Elements of Geometric Measure Theory on sub-Riemannian groups
* Magnani: Convexity in Carnot groups
* Magnani, Rajala: Radon-Nikodym property and area formula for Banach homogeneous group targets
--- Modified Papers ---
* Bardi, Terrone: On the Homogenization of some Non-coercive Hamilton--Jacobi--Isaacs Equations
* Ansini, Zeppieri: Asymptotic analysis of non symmetric linear operators via Gamma-convergence
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