Geometric and analytic properties of families of hypersurfaces in Eguchi--Hanson space

DOI10.1016/S0393-0440(01)00076-6zbMath1024.53033arXivmath/0104250MaRDI QIDQ1864929

Pablo Ramacher

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104250

zbMATH Keywords

second fundamental formgeodesic flowcomplex line bundlesMöbius transformsEguchi-Hanson metricfamilies of hypersurfacesHopf torispinorial field equations\(L^2\)-kernel of the Dirac operator\(L^p\)-harmonic functions\(T\)-Killing spinorsEinstein-Dirac systemgeneralized Killing equation for spinorsRiemannian manifolds of non-positive scalar curvaturespectra of the scalar Laplacian and the Dirac operatorthree-dimensional curvature tensor

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Spin and Spin({}^c) geometry (53C27) Global submanifolds (53C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (3)

ALE spaces from noncommutative \(\mathrm{U}(1)\) instantons via exact Seiberg-Witten map ⋮ Codazzi spinors and globally hyperbolic manifolds with special holonomy ⋮ A local existence theorem for the Einstein--Dirac equation.

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