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Dive into the research topics where Luis C. de Andrés is active.

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Featured researches published by Luis C. de Andrés.


Osaka Journal of Mathematics | 2007

Hermitian structures on cotangent bundles of four dimensional solvable Lie groups

Luis C. de Andrés; M. Laura Barberis; Isabel G. Dotti; Marisa Fernández

We study hermitian structures, with respect to the standard neutral metric on the cotangent bundle T G of a 2n-dimensional Lie group G, which are left invariant with respect to the Lie group structure on T G induced by the coadjoint action. These are in one-to-one correspondence with left invariant generalized complex structures on G. Using this correspondence and results of (8) and (10), it turns out that when G is nilpotent and four or six dimensional, the cotangent bundle T G always has a hermitian structure. However, we prove that if G is a four dimensional solvable Lie group admitting neither complex nor symplectic structures, then T G has no hermitian structure or, equivalently, G has no left invariant generalized complex structure.


Geometriae Dedicata | 1991

Connections on tangent bundles of higher order associated to regular Lagrangians

Luis C. de Andrés; Manuel de León; Paulo R. Rodrigues

Given a regular Lagrangian L of order k on M we show that there exists a canonical connection ГL on T2k−1M whose paths are the solutions of the Euler-Lagrange equations for L. If L is the kinetic energy defined by a Riemannian metric then ГL is the Riemannian connection.


Demonstratio Mathematica | 1989

CONNECTIONS ON TANGENT BUNDLES OF HIGHER ORDER

Luis C. de Andrés; Manuel de León; Paulo R. Rodrigues

Introduction As it is well known the tangent bundle TM of any manifold M carries a canonical integrable almost tangent structure J (see [Go], [Gr], [ YI ] ). By means of J, Grifone [Gr] gave a new definition of (non-homogeneous) connection on M. In fact, a (non-homogeneous) connection on M is a vector 1-form I* on TM such that Jr = J and TJ = -J. The connection T is said to be homogeneous if T is homogeneous as a vector 1-form. Obviously, if r is C°° on all TM, then it is a linear connection (see [V]); so, we must suppose that r


Geometriae Dedicata | 1989

Examples of four-dimensional compact locally conformal Kähler solvmanifolds

Luis C. de Andrés; Luis A. Cordero; Marisa Fernández; José J. Mencía


Quarterly Journal of Mathematics | 2009

CONTACT 5-MANIFOLDS WITH SU(2)-STRUCTURE

Luis C. de Andrés; Marisa Fernández; Anna Fino; Luis Ugarte


arXiv: Differential Geometry | 2009

Explicit Quaternionic Contact Structures and Metrics with Special Holonomy

Luis C. de Andrés; Marisa Fernández; Stefan Ivanov; José A. Santisteban; Luis Ugarte; Dimiter Vassilev


Archive | 2009

Explicit Quaternionic contact structures, Sp(n)-structures and Hyper Kaehler metrics

Luis C. de Andrés; Marisa Fernández; Stefan Ivanov; José A. Santisteban; Luis Ugarte; Dimiter Vassilev


Archive | 2009

Special Metrics and Supersymmetry

Oscar J. Garay; Marisa Fernández; Luis C. de Andrés; Luis Ugarte


arXiv: Differential Geometry | 2011

Bianchi type A hyper-symplectic and hyper-K\

Luis C. de Andrés; Marisa Fernández; Stefan Ivanov; José A. Santisteban; Luis Ugarte; Dimiter Vassilev


Archive | 2011

Bianchi type A hyper-symplectic metrics, gravitational instantons and their duality

Luis C. de Andrés; Dimiter Vassilev; José A. Santisteban; Marisa Fernández; Stefan Ivanov; Luis Ugarte

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Marisa Fernández

University of the Basque Country

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Luis Ugarte

University of Zaragoza

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José A. Santisteban

University of the Basque Country

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Manuel de León

Spanish National Research Council

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Paulo R. Rodrigues

Federal Fluminense University

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José J. Mencía

University of the Basque Country

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Luis A. Cordero

University of Santiago de Compostela

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