Curvature properties of some three-dimensional almost contact manifolds with
-metric. II. (English) Zbl 1086.53046
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5–12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 169-177 (2004).
-metric on a
-dimensional almost contact manifold
is a metric
is an indefinite metric of signature
. A decomposition of the class of almost contact manifolds with
-metric was given by G. Gachev, V. Mihova
and K. Gribachev
[Math. Balk., New Ser. 7, No. 3–4, 264–276 (1993; Zbl 0830.53031
)], where eleven basic classes are defined. In this paper the authors study curvature properties and geometric characteristics of a 3-dimensional almost contact manifold with a
-metric belonging to two main classes.
|53C15||Differential geometric structures on manifolds|
|53D15||Almost contact and almost symplectic manifolds|