Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0885.53058
Lotta, Antonio
Slant submanifolds in contact geometry. (English)
[J] Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 39, No. 1-4, 183-198 (1996). ISSN 1220-3874

Slant submanifolds in almost Hermitian manifolds were introduced in [{\it B.-Y. Chen}, Bull. Aust. Math. Soc. 41, 135-147 (1990; Zbl 0677.53060)] as submanifolds with constant slant angle. In the present article, the author defines the notion of slant submanifolds in an almost contact metric manifold with structure $(\phi,\xi,\eta, g)$ in a similar way. The author obtains several basic properties of slant submanifolds in a $K$-contact manifold when the characteristic vector field $\xi$ is tangent to the slant submanifolds. He also investigates slant submanifolds in an almost contact metric manifold $M\times\bbfR$ whose contact structure is obtained from the almost Hermitian structure on an almost Hermitian manifold $M$.
[B.-Y.Chen (East Lansing)]

MSC 2000:: *53C40 Submanifolds (differential geometry)
53C15 Geometric structures on manifolds

Keywords: slant submanifolds; almost contact metric manifold; $K$-contact manifold

Citations: Zbl 0677.53060

Cited in: Zbl 1241.53037 Zbl 1224.53086 Zbl 1172.53034 Zbl 1189.53054 Zbl 0944.53028

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]