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In this paper, we study the pseudo-symmetry of unit tangent sphere bundle. We prove that if the unit tangent sphere bundle $T_1M$ with standard contact metric structure over a locally symmetric $M^n$, $n{\geq}3$ is pseudo-symmetric, then M is of constant curvature.
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참고문헌 (13)
참고문헌 신청
D. E. Blair / 2010 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc.
D. E. Blair / 1989 / When is the tangent sphere bundle locally symmetric / Geometry and Topology, World Scientific, Singapore 509:15~30
E. Boeckx / 1997 / Characteristic reflections on unit tangent sphere bun-dles / Houston J. Math. 23:427~448
E. Boeckx / 1998 / Unit tangent sphere bundles and two-point homogeneous spaces / Periodica Math. Hungarica 36:79~95
E. Boeckx / 2004 / When is the unit tangent sphere bundle semi-symmetric? / Tohoku Math. J. 56:357~366
D. E. Blair / 1989 / When is the tangent sphere bundle locally symmetric / Geometry and Topology, World Scientific, Singapore 509:15~30
E. Boeckx / 1997 / Characteristic reflections on unit tangent sphere bun-dles / Houston J. Math. 23:427~448
E. Boeckx / 1998 / Unit tangent sphere bundles and two-point homogeneous spaces / Periodica Math. Hungarica 36:79~95
E. Boeckx / 2004 / When is the unit tangent sphere bundle semi-symmetric? / Tohoku Math. J. 56:357~366
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