Rational models of solvmanifolds with Kählerian structures.

A. Tralle

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: 1, page 157-176
  • ISSN: 1139-1138

Abstract

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We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).

How to cite

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Tralle, A.. "Rational models of solvmanifolds with Kählerian structures.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 157-176. <http://eudml.org/doc/44238>.

@article{Tralle1997,
abstract = {We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).},
author = {Tralle, A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Variedades compactas; Variedad simpléctica; Topología algebraica; Homotopía racional; Resolución; Modelo algebraico; symplectic manifolds; Kähler manifolds; compact solvmanifolds; rational homotopy theory},
language = {eng},
number = {1},
pages = {157-176},
title = {Rational models of solvmanifolds with Kählerian structures.},
url = {http://eudml.org/doc/44238},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Tralle, A.
TI - Rational models of solvmanifolds with Kählerian structures.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 157
EP - 176
AB - We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).
LA - eng
KW - Variedades compactas; Variedad simpléctica; Topología algebraica; Homotopía racional; Resolución; Modelo algebraico; symplectic manifolds; Kähler manifolds; compact solvmanifolds; rational homotopy theory
UR - http://eudml.org/doc/44238
ER -

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