Harmonic morphisms between degenerate semi-Riemannian manifolds.

Pambira, Alberto

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Boundary value problems for the stationary Schrödinger equation on Riemannian manifolds.

Mazepa, E. A. (2002)

Sibirskij Matematicheskij Zhurnal

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Conformally flat contact metric manifolds with $Q ξ = ϱ ξ$ .

Gouli-Andreou, Florence, Tsolakidou, Niki (2004)

Beiträge zur Algebra und Geometrie

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Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues

Oldřich Kowalski (1993)

Commentationes Mathematicae Universitatis Carolinae

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We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.

Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds

Ülo Lumiste (2002)

Commentationes Mathematicae Universitatis Carolinae

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By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.