Complex Structures and Conformal Geometry
Salamon, Simon
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 199-224 / Harvested from Biblioteca Digitale Italiana di Matematica
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A characterization of certain complex structures on conformally-flat domains in real dimension 4 is carried out in the context of Hermitian geometry and twistor spaces. The presentation is motivated by some classical surface theory, whilst the problem itself leads to a refined classification of quadrics in complex projective 3-space. The main results are sandwiched between general facts in real dimension 2n and some concluding examples in real dimension 6.

Publié le : 2009-02-01
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     author = {Simon Salamon},
     title = {Complex Structures and Conformal Geometry},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {199-224},
     zbl = {1182.53043},
     mrnumber = {2493651},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_1_199_0}
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Salamon, Simon. Complex Structures and Conformal Geometry. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 199-224. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_1_199_0/

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