Klaus Kröncke
University of Hamburg
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Publication
Featured researches published by Klaus Kröncke.
Calculus of Variations and Partial Differential Equations | 2015
Klaus Kröncke
We consider the volume-normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton
Annals of Global Analysis and Geometry | 2015
Klaus Kröncke
Differential Geometry and Its Applications | 2015
Klaus Kröncke
(M,g)
Transactions of the American Mathematical Society | 2017
Klaus Kröncke
Classical and Quantum Gravity | 2016
David Fajman; Klaus Kröncke
(M,g) is a local maximum of Perelman’s shrinker entropy, any normalized Ricci flow starting close to it exists for all time and converges towards a Ricci soliton. If
Calculus of Variations and Partial Differential Equations | 2018
Volker Branding; Klaus Kröncke
Classical and Quantum Gravity | 2018
David Fajman; Klaus Kröncke
g
Journal of Geometric Analysis | 2017
Volker Branding; Klaus Kröncke
Archive | 2016
Klaus Kröncke
g is not a local maximum of the shrinker entropy, we show that there exists a nontrivial normalized Ricci flow emerging from it. These theorems are analogues of results in the Ricci-flat and in the Einstein case (Haslhofer and Müller, arXiv:1301.3219, 2013; Kröncke, arXiv:1312.2224, 2013).
Journal of Geometric Analysis | 2016
Klaus Kröncke
Certain curvature conditions for the stability of Einstein manifolds with respect to the Einstein–Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor. In dimension six, a stability criterion involving the Euler characteristic is given.
