Nets of asymptotic lines in a Riemannian hypersurface with non-symmetric metric connection. (English) Zbl 1034.53017
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 127-134 (2003).
be a hypersurface in a Riemannian manifold
. A curve
is called asymptotic if the normal curvature along the curve
vanishes identically. In the paper under review the authors study the hypersurfaces
for which the
families of asymptotic lines form a special net (Chebyshev, geodesic, or strongly metric Chebyshev).
|53B20||Local Riemannian geometry|