On Riemannian almost product manifolds with nonintegrable structure. (English) Zbl 1166.53018

Mekerov, Dimitar

J. Geom. 89, No. 1-2, 119-129 (2008).

Summary: The class of the Riemannian almost product manifolds with nonintegrable structure is considered. Some identities for the curvature tensor and certain invariant tensors and quantities are obtained.

MSC:

53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C50	Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics

Keywords:

almost product manifold; Riemannian metric; nonintegrable structure