Lorentzian Stationary Surfaces and Null Curves in 4-dimensional Space Forms of Index 2

Received: 6.VII.2016, Accepted: 8.II.2017

Abstract. We discuss a property of the Gaussian curvature and the normal curvature of Lorentzian stationary surfaces in 4-dimensional semi-Riemannian space forms of index 2, which is related to a property of null curves via a characteristic initial value problem.

Mathematics Subject Classification (2010): Primary 53A10, Secondary 53B30, 53A04

Makoto Sakaki, Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan