Complex Structures and Conformal Geometry

Simon Salamon

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 1, page 199-224
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Salamon, Simon. "Complex Structures and Conformal Geometry." Bollettino dell'Unione Matematica Italiana 2.1 (2009): 199-224. <http://eudml.org/doc/290589>.

@article{Salamon2009,
abstract = {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.},
author = {Salamon, Simon},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {199-224},
publisher = {Unione Matematica Italiana},
title = {Complex Structures and Conformal Geometry},
url = {http://eudml.org/doc/290589},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Salamon, Simon
TI - Complex Structures and Conformal Geometry
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/2//
PB - Unione Matematica Italiana
VL - 2
IS - 1
SP - 199
EP - 224
AB - 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.
LA - eng
UR - http://eudml.org/doc/290589
ER -

References

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