논문KCI 등재
On the characteristic Jacobi operator of the unit tangent sphere bundles over surfaces
대한수학회 (The Korean Mathematical Society)|2024.11|대한수학회보 (Bulletin of the KMS)|제61권 제6호|pp. 1549-1563|DOI 10.4134/BKMS.b230464
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We prove that the characteristic Jacobi operator $\ell$ of the unit tangent sphere bundle over a surface is properly pseudo-parallel when and only when the base surface is of constant curvature $1$ or $4/3$. The latter case only occurs for $2$-dimensional base manifolds.
Abstract
We prove that the characteristic Jacobi operator $\ell$ of the unit tangent sphere bundle over a surface is properly pseudo-parallel when and only when the base surface is of constant curvature $1$ or $4/3$. The latter case only occurs for $2$-dimensional base manifolds.
참고문헌 (23)
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