Abelian complex structures on 6-dimensional compact nilmanifolds

Luis A. Cordero; Marisa Fernández; Luis Ugarte

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 2, page 215-229
  • ISSN: 0010-2628

Abstract

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We classify the 6 -dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure J we describe the space of symplectic forms which are compatible with J .

How to cite

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Cordero, Luis A., Fernández, Marisa, and Ugarte, Luis. "Abelian complex structures on 6-dimensional compact nilmanifolds." Commentationes Mathematicae Universitatis Carolinae 43.2 (2002): 215-229. <http://eudml.org/doc/248969>.

@article{Cordero2002,
abstract = {We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure $J$ we describe the space of symplectic forms which are compatible with $J$.},
author = {Cordero, Luis A., Fernández, Marisa, Ugarte, Luis},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nilpotent Lie algebras; abelian complex structures; symplectic forms; nilpotent Lie algebras; abelian complex structures; symplectic forms},
language = {eng},
number = {2},
pages = {215-229},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Abelian complex structures on 6-dimensional compact nilmanifolds},
url = {http://eudml.org/doc/248969},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Cordero, Luis A.
AU - Fernández, Marisa
AU - Ugarte, Luis
TI - Abelian complex structures on 6-dimensional compact nilmanifolds
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 2
SP - 215
EP - 229
AB - We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure $J$ we describe the space of symplectic forms which are compatible with $J$.
LA - eng
KW - nilpotent Lie algebras; abelian complex structures; symplectic forms; nilpotent Lie algebras; abelian complex structures; symplectic forms
UR - http://eudml.org/doc/248969
ER -

References

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