Wyniki wyszukiwania

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A complete classification of four-dimensional paraKähler Lie algebras

100%

Calvaruso G.

Complex Manifolds

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2015

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tom 2

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nr 1

EN

We consider paraKähler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Ω(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.

2

Harmonicity of vector fields on four-dimensional generalized symmetric spaces

100%

Calvaruso G.

Open Mathematics

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2012

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tom 10

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nr 2

411-425

EN

Let (M = G/H;g)denote a four-dimensional pseudo-Riemannian generalized symmetric space and g = m + h the corresponding decomposition of the Lie algebra g of G. We completely determine the harmonicity properties of vector fields belonging to m. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Vector fields defining harmonic maps are also classified, and the energy of these vector fields is explicitly calculated.

3

Cosymplectic and α-cosymplectic Lie algebras

63%

Calvaruso G., Perrone A.

Complex Manifolds

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2016

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tom 3

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nr 1

4

On the Ricci operator of locally homogeneous Lorentzian 3-manifolds

63%

Calvaruso G., Kowalski O.

Open Mathematics

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2009

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tom 7

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nr 1

124-139

EN

We determine the admissible forms for the Ricci operator of three-dimensional locally homogeneous Lorentzian manifolds.

Ograniczanie wyników

2 Complex Manifolds

2 Open Mathematics

4 Calvaruso G.

1 Kowalski O.

1 Perrone A.

1 2016

1 2015

1 2012

1 2009

A complete classification of four-dimensional paraKähler Lie algebras

Harmonicity of vector fields on four-dimensional generalized symmetric spaces

Cosymplectic and α-cosymplectic Lie algebras

On the Ricci operator of locally homogeneous Lorentzian 3-manifolds