Sergio Garbiero - Academia.edu (original) (raw)
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University of the Basque Country, Euskal Herriko Unibertsitatea
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Papers by Sergio Garbiero
We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian met... more We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian met... more We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
Rendiconti del Seminario Matematico
Comparing the classifications of almost Hermitian structures and almost Hermitian homogeneous str... more Comparing the classifications of almost Hermitian structures and almost Hermitian homogeneous structures, we obtain some geometrical results about different classes of almost Hermitian homogeneous manifolds. In particular we study the Lie groups endowed with left invariant metrics and compatible almost complex structures. Some examples are discussed in detail.
Arxiv preprint math/0007066, 2000
The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is... more The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)×U(1) on complex projective 3-space. This leads to a combinatorial description of the classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.
Proceedings of the Edinburgh Mathematical Society, 1988
Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold o... more Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold of dimension 2n, J is an almost complex structure on M, i.e. it is a tensor field of type (1, 1) such thatfor any X∈(M), ((M) is the Lie algebra of ∞ vector fields on M), and g is a Riemannian metric compatible with J, i.e.
Comptes Rendus Mathematique, 2013
We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian me... more We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian met... more We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian met... more We establish the existence of solvable Lie groups of dimension 4 and leftinvariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
Rendiconti del Seminario Matematico
Comparing the classifications of almost Hermitian structures and almost Hermitian homogeneous str... more Comparing the classifications of almost Hermitian structures and almost Hermitian homogeneous structures, we obtain some geometrical results about different classes of almost Hermitian homogeneous manifolds. In particular we study the Lie groups endowed with left invariant metrics and compatible almost complex structures. Some examples are discussed in detail.
Arxiv preprint math/0007066, 2000
The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is... more The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)×U(1) on complex projective 3-space. This leads to a combinatorial description of the classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.
Proceedings of the Edinburgh Mathematical Society, 1988
Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold o... more Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold of dimension 2n, J is an almost complex structure on M, i.e. it is a tensor field of type (1, 1) such thatfor any X∈(M), ((M) is the Lie algebra of ∞ vector fields on M), and g is a Riemannian metric compatible with J, i.e.
Comptes Rendus Mathematique, 2013
We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian me... more We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.