Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures

The Riemannian product M1(c1)×M2(c2), where Mi(ci) denotes the 2-dimensional space form of constant sectional curvature ci ∈ R, has two different Spin c structures carrying each a parallel spinor. The restriction of these two parallel spinor fields to a 3-dimensional hypersurface M characterizes the...

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Veröffentlicht in:	Annals of global analysis and geometry Jg. 61; H. 1; S. 89 - 114
Hauptverfasser:	Nakad, Roger, Roth, Julien
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Springer Verlag 07.10.2021
Schlagworte:	Differential Geometry Mathematics 53C40 totally umbilcal hypersurfaces Kähler manifolds Mathematics subject classifications : 53C27 generalized Killing Spin c spinors parallel Spin c spinors Spin c structures on hypersurfaces 53C80
ISSN:	0232-704X, 1572-9060
Online-Zugang:	Volltext
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