Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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UNIT TANGENT SPHERE BUNDLES OF LOCALLY SYMMETRIC SPACES

  • Received : 2020.10.08
  • Accepted : 2020.11.17
  • Published : 2020.12.25
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Abstract

We give characterizations of locally symmetric spaces M via the structural operator $h={\frac{1}{2}{\mathcal{L}}_{\xi}{\phi}}$ or the characteristic Jacobi operator ℓ = R(·, ξ)ξ on the unit tangent sphere bundles T1M.

Keywords

Acknowledgement

S.H. Chun was supported by research fund from chosun university, 2017.

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