The spinorial energy functional: solutions of the gradient flow on Berger spheres

DOI10.1007/S10455-015-9494-9zbMath1376.49056arXiv1510.04865OpenAlexW3103784572WikidataQ124838787 ScholiaQ124838787MaRDI QIDQ300423

Johannes Wittmann

Publication date: 28 June 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04865

zbMATH Keywords

collapsestabilitygradient flowspin geometrygeometric evolution equationBerger spheres

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

Eigenvalues of the Dirac operator on compact spin manifolds under Ricci flow ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures

Cites Work

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• A spinorial energy functional: critical points and gradient flow
• Flow by mean curvature of convex surfaces into spheres
• The spinorial energy functional on surfaces
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• The Dirac operator on nilmanifolds and collapsing circle bundles
• Generalized cylinders in semi-Riemannian and spin geometry

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