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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| Published in: | Journal of geometry and physics Vol. 116; pp. 316 - 329 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier
01.06.2017
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| Subjects: | |
| ISSN: | 0393-0440 |
| Online Access: | Get full text |
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| Summary: | 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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| ISSN: | 0393-0440 |
| DOI: | 10.1016/j.geomphys.2017.02.005 |