Coken, A. Ceylan

### Description:

In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces E-v(n+1). We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces E-v(n+1). Then we give corollaries of Euler's theorem concerning conjugate and asymptotic directions. After that, we express Euler's theorem and its corollaries for hypersurfaces in the Euclidean space E-m in the case n = m - 1, v = 0. In addition, we give the well-known Euler's theorem and its corollaries for surfaces in the case n = 2, v = 0, for Lorentz surfaces in the case n = 2, v = 1 and for hypersurfaces in Lorentz spaces in the case n = m-1, v = 1.