A spinorial energy functional: critical points and gradient flow

DOI10.1007/s00208-015-1315-8zbMath1358.53052arXiv1207.3529OpenAlexW1891416874MaRDI QIDQ303628

Hartmut Weiss, Bernd Ammann, Frederik Witt

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3529

zbMATH Keywords

parallel spinorsEinstein metricKilling spinorsspin manifoldsspinor flowunconstrained critical pointsWillmore energy

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27)

Related Items (15)

Eigenvalues of the Dirac operator on compact spin manifolds under Ricci flow ⋮ The spinorial energy functional: solutions of the gradient flow on Berger spheres ⋮ Compactness of Dirac-Einstein spin manifolds and horizontal deformations ⋮ Holonomy rigidity for Ricci-flat metrics ⋮ A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory ⋮ The energy functional of \(G_2\)-structures compatible with a background metric ⋮ A gradient flow of isometric \(\text{G}_2\)-structures ⋮ The spinorial energy for asymptotically Euclidean Ricci flow ⋮ Geometric flows and supersymmetry ⋮ The spinorial energy functional on surfaces ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures ⋮ Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors ⋮ \(G_{2}\)-structures and octonion bundles ⋮ Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures ⋮ Conformal Dirac-Einstein equations on manifolds with boundary.

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