engleski

Minding's isometries of ruled surfaces in simply isotropic space

Simply isotropic space I3(1) is a Cayley-Klein space whose absolute figure consists of a fixed plane omega of a three dimensional real projective space and of a pair of conjugate lines f1, f2 in omega. In this work we study Minding’s bendings of ruled surface in simply isotropic space I3(1). Minding’s bending is a local isometry of ruled surfaces which preserves the rulings of the surfaces. There are 3 types of ruled surfaces in I3(1) and each type is treated separately.

isotropic space; ruled surface

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