A KIND OF ROTATIONAL SURFACES WITH A LIGHT-LIKE AXIS IN CONFORMALLY FLAT PSEUDO-SPACES OF DIMENSIONAL THREE

Yerlikaya F.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.73, sa.2, ss.450-459, 2024 (ESCI, TRDizin) identifier identifier

Özet

In this work, we define the rotational surface with a light-like axis in conformally flat pseudo-spaces (E-3(1))(lambda), where lambda is a radial-type conformal factor. We relate the principal curvatures of a non-degenerate surface that belongs to conformally equivalent spaces (E-3(1))(lambda). and R-1(3), based on the radial conformal factor. Thus, we establish a relationship between the radial conformal factor and the profile curve of the rotational flat surface in (E-3(1))(lambda), but also for that of the rotational surface with zero extrinsic curvature.