On the Riemannian curvature tensor of an almost-product manifold

Francisco J. Carreras

Displaying similar documents to “On the Riemannian curvature tensor of an almost-product manifold”

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 $1$ .

Product-concircular curvature tensor.

V. Petrovic (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

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Classification of 4-dimensional homogeneous D'Atri spaces

Teresa Arias-Marco, Oldřich Kowalski (2008)

Czechoslovak Mathematical Journal

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The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold $(M, g)$ satisfying the first odd Ledger condition is said to be of type $𝒜$ . The classification of all 3-dimensional D’Atri spaces is well-known. All of them are locally naturally reductive. The first attempts to classify all 4-dimensional homogeneous D’Atri spaces were done in...

Curvature homogeneous riemannian manifolds

F. Tricerri, L. Vanhecke (1989)

Annales scientifiques de l'École Normale Supérieure

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