Classification of 4-dimensional homogeneous D'Atri spaces

Teresa Arias-Marco; Oldřich Kowalski

Displaying similar documents to “Classification of 4-dimensional homogeneous D'Atri spaces”

Curvature tensors and Singer invariants of four-dimensional homogeneous spaces

Yuki Kiyota, Kazumi Tsukada (1999)

Commentationes Mathematicae Universitatis Carolinae

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We show that the Singer invariant of a four-dimensional homogeneous space is at most $1$ .

A note to a theorem by K. Sekigawa

Oldřich Kowalski (1989)

Commentationes Mathematicae Universitatis Carolinae

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Riemannian manifolds in which certain curvature operator has constant eigenvalues along each helix

Yana Alexieva, Stefan Ivanov (1999)

Archivum Mathematicum

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Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures $r_{1} = r_{2} = 0, r_{3} \neq 0$ , which are not locally homogeneous, in general.