A NONLOCAL PROBLEM WITH BITSADZE-SAMARSKII CONDITIONS ON CHARACTERISTICS OF A DIFFERENT FAMILY FOR A PARABOLIC-HYPERBOLIC EQUATION
Keywords:
Conformal transformation, differential invariants, submersion, vector field.Abstract
In this paper, we study the second-order differential invariants of submersions with respect to the group of conformal transformations Euclidian spaces. In particular, it is proved that the ratio of principal surface curvatures is a second-order differential invariant with respect to the group of conformal transformations.
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