# The Shape Operator of the Tubular Hypersurfaces

• Published : 1998.06.01

#### Abstract

Using Fermi coordinates and the principle curvature on the tubula hypersurfaces, we characterize space of constant sectional curvature by analysing the shape operator on the tubular hypersurfaces.

#### References

1. Atti R. Accad. Lincei Rend. cl. Sci. Fis. Mat. Natur v.31 Sopra i fenomeni che arrengono in vicinanza di una linea oraria Fermi, E
2. Topology v.21 Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula Gray, A
3. Tubes Gray, A
4. Proc. Lord. Math. Soc v.XLIV The volumes of tubes about curves in a Riemannian mainfold Gray, A;Vanhecke, L
5. Yokohama Math. J v.43 Geodesic tubes and spaces of constant curvature Papantoniou, B.J
6. Tamkang J. Math Geodesic tubes on locally symmetric spaces Papantoniou, B.J
7. Acta Sci. Math v.58 Principle curvatures of special hypersurfaces in symmetric spaces Verhoczi, L