Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
권호 표지

A note on partially conformal geodesic transformation on the Kahler manifolds

  • Cho, Bong-Sik (Division of Mathematical Science and Informational Statistics Wonkwang University)
  • Published : 2003.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we deal with partially conformal geodesic transformations in Kahler geometry by using Fermi coordinates when tile submanifold is a geodesic sphere. We derive the necessary and sufficient condition for tile existence of such transformation in terms of the Jacobi operator and its derivative.

Keywords

References

  1. Math. J. Okayama Univ. v.32 Almost Hermitian geometry, geodesic spheres and symmetries Djoric,M.;L.Vanhecke
  2. Tsukuba J. Math. v.23 no.1 Geodesic transformations in almost Hermitian geometry Garcia Rio,F.;L.Vanhecke
  3. Kodai Math. Sem. Rep. v.25 Constancy of holomorphic sectional curvature in almost Hermitian manifold Tanno,S.
  4. Rend. Sem. Fac. Sci. Univ. Cagliari, supplemento al v.58 Geometry in normal and tubular neighborhoods Vahecke,L.
  5. Proc. Roy. Soc. Edinburgh Sect. A v.82 Jacobi fields and geodesic spheres Vahecke,L.;T.J.Willmore