INVESTIGADORES
BARBERIS Maria Laura Rita
artículos
Título:
Abelian hermitian geometry
Autor/es:
A. ANDRADA, M.L. BARBERIS, I. DOTTI
Revista:
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 30 p. 509 - 519
ISSN:
0926-2245
Resumen:
We study the structure of Lie groups admitting left invariant abelian complex structures in terms of commutative associative algebras. If, in addition, the Lie group is equipped with a left invariant Hermitian structure, it turns out that such a Hermitian structure is Kähler if and only if the Lie group is the direct product of several copies of the real hyperbolic plane by a Euclidean factor. Moreover, we show that if a left invariant Hermitian metric on a Lie group with an abelian complex structure has flat first canonical connection, then the Lie group is abelian.
