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Immersion in Sn by complex spinors

2019/03/24 by Rafael de Freitas Leão, Leão, Rafael de Freitas, Samuel A. Wainer +1
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1903.10903

Abstract

Since the first work of Thomas Friedrich showing that isometric immersions of Riemann surfaces are related to spinors and the Dirac equation, various works appeared generalizing this approach to more general Spin-manifolds, in particular the case of submanifolds of Spin-manifolds of constant curvature. In the present work we investigate the case of submanifolds of SpinC-manifolds of constant curvature.

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