Abstract
In this paper, b-m2 developable surfaces of biharmonic b-slant helices in the special three- dimensional − φ Ricci symmetric para-Sasakian manifold P is studied. Explicit parametric equations of b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional − φ Ricci
Highlights
In differential geometry (CADDEO; MONTALDO, 2001), (DIMITRIC, 1992), (LOUBEAU; ONICIUC, 2007), (O'NEILL, 1983) that under the assumption of sufficient differentiability, a developable surface is either a plane, conical surface, cylindrical surface or tangent surface of a curve or a composition of these types
The Euler-Lagrange equation of the bienergy is given by T2 (φ ) = 0
We study b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional φ − Ricci symmetric paraSasakian manifold P
Summary
In differential geometry (CADDEO; MONTALDO, 2001), (DIMITRIC, 1992), (LOUBEAU; ONICIUC, 2007), (O'NEILL, 1983) that under the assumption of sufficient differentiability, a developable surface is either a plane, conical surface, cylindrical surface or tangent surface of a curve or a composition of these types. We study b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional φ − Ricci symmetric paraSasakian manifold P. We characterize the biharmonic curves in terms of their curvature and torsion in the special three-dimensional φ − Ricci symmetric para-Sasakian manifold P.
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