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Rigidity Results for Riemann and Schouten Solitons
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Willian Tokura +3 more
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Communications in Mathematical Physics, 2014
We consider the Wulff-type energy functional, $$\fancyscript{W}_\Omega(u) := \int_\Omega B( H( \nabla u (x) ) ) - F(u(x)) \, dx,$$WΩ(u):=∫ΩB(H(∇u(x)))-F(u(x))dx,where B is positive, monotone and convex, and H is positive homogeneous of degree 1.
Matteo Cozzi, A. Farina, E. Valdinoci
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We consider the Wulff-type energy functional, $$\fancyscript{W}_\Omega(u) := \int_\Omega B( H( \nabla u (x) ) ) - F(u(x)) \, dx,$$WΩ(u):=∫ΩB(H(∇u(x)))-F(u(x))dx,where B is positive, monotone and convex, and H is positive homogeneous of degree 1.
Matteo Cozzi, A. Farina, E. Valdinoci
semanticscholar +2 more sources
, 2016
We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results
S. Dipierro, Nicola Soave, E. Valdinoci
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We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results
S. Dipierro, Nicola Soave, E. Valdinoci
semanticscholar +1 more source
A Result of Rigidity for Ricci-Flat Warped Products
Bulletin of the Brazilian Mathematical Society, New Series, 2023\textit{A. Einstein} [Ann. Math. (2) 40, 922--936 (1939; Zbl 0023.42501)] proposed a field equation to describe the gravitational effects produced by a given mass in general relativity, \[ \mathrm{Ric}_g -\frac{1}{2}sg=T, \] where \(g\) is a Lorentz metric on a manifold \(M^4\), \(s\) is the scalar curvature of \((M^4, g)\) and \(T\) is the stress ...
Ilton Menezes +2 more
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On a rigidity result of singularities
ANNALI DELL'UNIVERSITA' DI FERRARA, 2016The author aims at generalizing a rigidity result for isolated singularities (due mainly to Schlessinger, but also to Kleiman and Landolfi) to arbitrary (not necessarily isolated) singularities. The proof (which works only in characteristic zero) is based not on Schlessinger's deformation theory, but on local Grothendieck-Lefschetz theory and on a ...
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Failure of Topological Rigidity Results for the Measure Contraction Property
Potential Analysis, 2014We give two examples of metric measure spaces satisfying the measure contraction property MCP(K,N) but having different topological dimensions at different regions of the space.
C. Ketterer, T. Rajala
semanticscholar +1 more source
, 2014
We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequalities.
J. Dolbeault +3 more
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We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequalities.
J. Dolbeault +3 more
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