CHARACTERIZATION OF BI-NULL SLANT(BNS) HELICES OF (k,m )-TYPE IN R^3_1 AND R^5_ 2

Abstract

The present study discusses bi-null slant helices of $(k, m)$ type in $R_2^5$ and give the characterization for a curve to be certain $(k,m)$ type bi null slant helix (BNS helix). The discussion includes the proofs for the non existence cases of $(k,m)$ type bi null slant helices in $R_2^5$. Moreover certain characterizations and non existence have also been obtained for bi null slant helix to be $(k,m)$ type using modified orthogonal frame.