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killing normal jacobi operator

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Real hypersurfaces in the complex quadric with Killing normal Jacobi operator
Part of
- Global differential geometry
Young Jin Suh
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 149 / Issue 2 / April 2019

Published online by Cambridge University Press:

27 December 2018, pp. 279-296

Print publication:

April 2019
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We introduce the notion of Killing normal Jacobi operator for real hypersurfaces in the complex quadric Qm = SOm+2/SOmSO2. The Killing normal Jacobi operator implies that the unit normal vector field N becomes 𝔄-principal or 𝔄-isotropic. Then according to each case, we give a complete classification of real hypersurfaces in Qm = SOm+2/SOmSO2 with Killing normal Jacobi operator.