On Morse index calculations for geodesic lines on smooth surfaces imbedded in ℝ3
M. M. Popov · 2018
Morse index appears in problems of mathematical physics devoted to construction and application of semi-classical asymptotics and short-waves propagation in inhomogeneous media, e.g. in the ray method. In this paper we present a new approach for calculation of the Morse index for geodesic lines on smooth surfaces embedded in ℝ3.