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Twisted dirac operator on minimal submanifolds

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Abstract

Hijazi and Zhang improved Friedrich’s inequality for non-minimal spin submanifolds. Their proof relies on the non-minimality assumption. We use another method to prove that their theorem holds also for minimal submanifolds. As an application, we show that any Kähler manifold can be embedded as a totally geodesic submanifold of its twistor space and apply the above result.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, University of Bucarest, 14 Academiei Str., 70109, Bucarest, Romania

    Adriana Turtoi

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  1. Adriana Turtoi
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Correspondence to Adriana Turtoi.

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Turtoi, A. Twisted dirac operator on minimal submanifolds. Rend. Circ. Mat. Palermo 55, 192–202 (2006). https://doi.org/10.1007/BF02874702

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  • DOI: https://doi.org/10.1007/BF02874702

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