Search Results - "E. Calviño-Louzao"

Homogeneous Riemannian structures in dimension three by Calviño-Louzao, E., Ferreiro-Subrido, M., García-Río, E., Vázquez-Lorenzo, R.

“…In this note, we determine all the homogeneous structures on non-symmetric three-dimensional Riemannian Lie groups. We show that a non-symmetric…”
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Three-dimensional conformally symmetric manifolds by Calviño-Louzao, E., García-Río, E., Seoane-Bascoy, J., Vázquez-Lorenzo, R.

“…The nonexistence of nontrivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local…”
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Conformally Einstein Lorentzian Lie Groups with Heisenberg Symmetry by Calviño-Louzao, E., García-Río, E., Gutiérrez-Rodríguez, I., Vázquez-Lorenzo, R.

“…We describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant…”
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Affine Surfaces Which are Kähler, Para-Kähler, or Nilpotent Kähler by Calviño-Louzao, E., García-Río, E., Gilkey, P., Gutiérrez-Rodríguez, I., Vázquez-Lorenzo, R.

“…Motivated by the construction of Bach flat neutral signature Riemannian extensions, we study the space of parallel trace-free tensors of type (1, 1) on an…”
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The geometry of modified Riemannian extensions by E. Calviño-Louzao, E. García-Río, P. Gilkey, R. Vázquez-Lorenzo

“…We show that every paracomplex space form is locally isometric to a modified Riemannian extension and gives necessary and sufficient conditions for a modified…”
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Invariant Ricci collineations on three-dimensional Lie groups by Calviño-Louzao, E., Seoane-Bascoy, J., Vázquez-Abal, M.E., Vázquez-Lorenzo, R.

“…We determine all left-invariant Ricci collineations on three-dimensional Lie groups…”
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Biharmonic maps on tangent and cotangent bundles by Calviño-Louzao, E., García-Río, E., Sixto-Neira, M., Vázquez-Abal, M.E.

“…We examine the harmonicity of some natural maps associated to the tangent and cotangent bundles, providing some new examples of proper biharmonic maps between…”
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Three-dimensional homogeneous Lorentzian Yamabe solitons by Calviño-Louzao, E., Seoane-Bascoy, J., Vázquez-Abal, M. E., Vázquez-Lorenzo, R.

“…A geometric characterization of Yamabe solitons on homogeneous Lorentzian manifolds of dimension three is given. As a consequence, Lorentzian Yamabe solitons…”
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Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators by Calviño-Louzao, E., García-Río, E., Gilkey, P., Vázquez-Lorenzo, R.

“…We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature ( n , n ) for any n ≥ 3. These…”
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One-harmonic invariant vector fields on three-dimensional Lie groups by Calviño-Louzao, E., Seoane-Bascoy, J., Vázquez-Abal, M.E., Vázquez-Lorenzo, R.

“…We determine all left-invariant vector fields on three-dimensional Lie groups which define harmonic sections of the corresponding tangent bundles, equipped…”
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Local rigidity and nonrigidity of symplectic pairs by Calviño-Louzao, E., García-Río, E., Vázquez-Abal, M. E., Vázquez-Lorenzo, R.

“…It is shown that indefinite strictly almost Kähler and opposite Kähler structures ( J , J ′) on a four-dimensional manifold with J -invariant Ricci operator…”
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Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension by Calviño-Louzao, E, García-Río, E, Gilkey, P, Gutiérrez-Rodríguez, I, Vázquez-Lorenzo, R

“…We use the modified Riemannian extension of an affine surface to construct Bach flat manifolds. As all these examples are VSI (vanishing scalar invariants), we…”
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Affine surfaces which are K\"ahler, para-K\"ahler, or nilpotent K\"ahler by Calviño-Louzao, E, García-Río, E, Gilkey, P, Gutiérrez-Rodríguez, I, Vázquez-Lorenzo, R

“…Motivated by the construction of Bach flat neutral signature Riemannian extensions, we study the space of parallel trace free tensors of type $(1,1)$ on an…”
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Conformal geometry of non-reductive four-dimensional homogeneous spaces by Calviño-Louzao, E, García-Río, E, Gutiérrez-Rodríguez, I, Vázquez-Lorenzo, R

“…We classify non-reductive four-dimensional homogeneous conformally Einstein manifolds…”
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Homogeneous Ricci almost solitons by Calviño-Louzao, E, Fernández-López, M, García-Río, E, Vázquez-Lorenzo, R

“…It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product $\mathbb{R}\times N(c)$, where $N(c)$…”
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Geometric properties of generalized symmetric spaces by Calviño-Louzao, E, García-Río, E, Vázquez-Abal, M. E, Vázquez-Lorenzo, R

“…It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature…”
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Homogeneous Cotton solitons by Calviño-Louzao, E, Hervella, L. M, Seoane-Bascoy, J, Vázquez-Lorenzo, R

“…Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant…”
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Three-dimensional conformally symmetric manifolds by Calviño-Louzao, E, García-Río, E, Seoane-Bascoy, J, Vázquez-Lorenzo, R

“…The non-existence of non-trivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete…”
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Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators by Calvino-Louzao, E, Garcia-Rio, E, Gilkey, P, Vazquez-Lorenzo, R

“…We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature (n,n) for any n which is at least…”
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The geometry of modified Riemannian extensions by Calvino-Louzao, E, Garcia-Rio, E, Gilkey, P, Vazquez-Lorenzo, R

“…We show that every paracomplex space form is locally isometric to a modified Riemannian extension and give necessary and sufficient conditions so that a…”
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