ON PROPER HELICES AND EXTRINSIC SPHERES IN PSEUDO-RIEMANNIAN GEOMETRY

ON PROPER HELICES AND EXTRINSIC SPHERES IN PSEUDO-RIEMANNIAN GEOMETRY

In this paper, we define the notion of a proper helix of order d in a pseudo-Riemannian manifold and investigate those curves in a totally umbilical pseudo-Riemannian submanifold.

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Veröffentlicht in:Tsukuba journal of mathematics 1996-12, Vol.20 (2), p.263-280
Hauptverfasser: Song, Hwa Hon, Kimura, Takahisa, Koike, Naoyuki
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Degrees of polynomials
Frenet Serret formulas
Geometry
Integers
Mathematical constants
Polynomials
Riemann manifold
Spheres
Vector fields
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Zusammenfassung:In this paper, we define the notion of a proper helix of order d in a pseudo-Riemannian manifold and investigate those curves in a totally umbilical pseudo-Riemannian submanifold.
ISSN:0387-4982
DOI:10.21099/tkbjm/1496163081