COMPLEX AND LAGRANGIAN SURFACES OF THE COMPLEX PROJECTIVE PLANE VIA KÄHLERIAN KILLING SPIN c SPINORS

Abstract : The complex projective space CP 2 of complex dimension 2 has a Spin c structure carrying Kählerian Killing spinors. The restriction of one of these Kählerian Killing spinors to a Lagrangian or complex surface M 2 characterizes the isometric immersion of M into CP 2 .
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Submitted on : Monday, June 27, 2016 - 9:28:37 PM
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Roger Nakad, Julien Roth. COMPLEX AND LAGRANGIAN SURFACES OF THE COMPLEX PROJECTIVE PLANE VIA KÄHLERIAN KILLING SPIN c SPINORS. Journal of Geometry and Physics, Elsevier, 2017, 116, pp.316-329. ⟨hal-01338103⟩

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