Complex Structures and Conformal Geometry
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 199-224
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2009_9_2_1_a9,
author = {Salamon, Simon},
title = {Complex {Structures} and {Conformal} {Geometry}},
journal = {Bollettino della Unione matematica italiana},
pages = {199--224},
year = {2009},
volume = {Ser. 9, 2},
number = {1},
zbl = {1182.53043},
mrnumber = {2493651},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a9/}
}
Salamon, Simon. Complex Structures and Conformal Geometry. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 199-224. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a9/