The geometrical analysis of structure of spacelike, timelike and with sign-variable metric surfaces in pseudoeuclidean spaces; conditions of parabolicity of conformal type and its applications; alternating and degenerate Beltrami equation.
Main publications:
A. N. Kondrashov, “Isothermic coordinates on irregular sewing surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 658–676
A. N. Kondrashov, “On the theory of degenerate alternating Beltrami equations”, Sibirsk. Mat. Zh., 53:6 (2012), 1321–1337; Siberian Math. J., 53:6 (2012), 1061–1074
A.N. Kondrashov, "Systems of zero mean curvature type", Vestnik VolSU. Vol. 10, 2006. p. 22-39. (in Russian)
A.N. Kondrashov, "On the Difference of Functions with Timelike Graphs", Doklady Mathematics, Vol. 74, No. 1, 2006, p. 491-493.
A. N. Kondrashov, "Two-dimensional minimal surfaces in pseudo-Euclidean space", (Russian) Dokl. Akad. Nauk 365 (1999), no. 3, 319–321.
