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Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures

Calculus of Variations and Partial Differential Equations, 2016
In 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
semanticscholar   +1 more source

Steady Gradient Kähler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones

Memoirs of the American Mathematical Society, 2020
We 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
semanticscholar   +1 more source

Smoothing out positively curved metric cones by Ricci expanders

, 2015
We 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
semanticscholar   +1 more source

Generalized Ricci soliton and paracontact geometry

São Paulo Journal of Mathematical Sciences, 2021
D. Naik, V. Venkatesha, H. Kumara
semanticscholar   +1 more source

Ricci Soliton Biharmonic Hypersurfaces in the Euclidean Space

Ukrainian Mathematical Journal, 2021
N. Mosadegh, E. Abedi, M. Ilmakchi
semanticscholar   +1 more source

A pulse amplitude modulation scheme based on in-line semiconductor optical amplifiers (SOAs) for optical soliton systems

Indonesian Journal of Electrical Engineering and Computer Science, 2021
Ahmed Nabih Zaki Rashed
exaly  

Integrated, Ultra‐Compact High‐Q Silicon Nitride Microresonators for Low‐Repetition‐Rate Soliton Microcombs

Laser and Photonics Reviews, 2022
Victor Torres-company   +2 more
exaly  

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