On some types of slant curves in contact pseudo-Hermitian 3-manifolds

Cihan Özgür; Şaban Güvenç

Displaying similar documents to “On some types of slant curves in contact pseudo-Hermitian 3-manifolds”

Pseudo-Bochner curvature tensor on Hermitian manifolds

Koji Matsuo (1999)

Colloquium Mathematicae

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Our main purpose of this paper is to introduce a natural generalization $B_{H}$ of the Bochner curvature tensor on a Hermitian manifold $M$ provided with the Hermitian connection. We will call $B_{H}$ the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be...

Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry

Jun-ichi Inoguchi, Ji-Eun Lee (2012)

Archivum Mathematicum

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We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures

Ganchev, Georgi, Kassabov, Ognian (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50. In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.

On Hermitian manifold with torsion.

Aruna Nigam (1979)

Revista Matemática Hispanoamericana

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Analytic vector fields in a Hermitian manifold have been studied by various authors [3, 4, 6 & 7]. Boothby [2] and Goldberg [1] extended some of these results to Hermitian manifold with torsion. In this paper we define and study p-pseudo-analytic vector fields, which when p = 1, reduce to analytic vector fields as given in [1] and [2]. A necessary and sufficient condition for a vector field to be covariant (contravariant) p-pseudo-analytic has been obtained and their relationship...