Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing Spin c spinors

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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Vydané v:Journal of geometry and physics Ročník 116; s. 316 - 329
Hlavní autori: Nakad, Roger, Roth, Julien
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier 01.06.2017
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ISSN:0393-0440
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Popis
Shrnutí: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 .
ISSN:0393-0440
DOI:10.1016/j.geomphys.2017.02.005