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Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures
Calculus of Variations and Partial Differential Equations, 2016In this paper we establish the existence of extremals for the Log Sobolev functional on complete non-compact manifolds with Ricci curvature bounded from below and strictly positive injectivity radius, under a condition near infinity.
M. Rimoldi, G. Veronelli
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Steady Gradient Kähler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones
Memoirs of the American Mathematical Society, 2020We show that, up to the flow of the soliton vector field, there exists a unique complete steady gradient Kähler-Ricci soliton in every Kähler class of an equivariant crepant resolution of a Calabi-Yau cone converging at a polynomial rate to Cao’s steady ...
Ronan J. Conlon, Alix Deruelle
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Smoothing out positively curved metric cones by Ricci expanders
, 2015We investigate the possibility of desingularizing a positively curved metric cone by an expanding gradient Ricci soliton with positive curvature operator. This amounts to study the deformation of such geometric structures. As a consequence, we prove that
Alix Deruelle
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Generalized Ricci soliton and paracontact geometry
São Paulo Journal of Mathematical Sciences, 2021D. Naik, V. Venkatesha, H. Kumara
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Ricci Soliton Biharmonic Hypersurfaces in the Euclidean Space
Ukrainian Mathematical Journal, 2021N. Mosadegh, E. Abedi, M. Ilmakchi
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Indonesian Journal of Electrical Engineering and Computer Science, 2021
Ahmed Nabih Zaki Rashed
exaly
Ahmed Nabih Zaki Rashed
exaly
Gradient Ricci solitons and Fischer–Marsden equation on cosymplectic manifolds
RACSAM, 2022S. Chaubey, G. Vîlcu
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