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$\mathfrak {a}$-isotropic

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

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A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric
Part of
- Global differential geometry
Hyunjin Lee, Young Jin Suh
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 6 / December 2021

Published online by Cambridge University Press:

18 November 2020, pp. 1846-1868

Print publication:

December 2021
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First we introduce the notion of parallel Ricci tensor ${\nabla }\mathrm {Ric}=0$ for real hypersurfaces in the complex quadric Qm = SOm+2/SOmSO2 and show that the unit normal vector field N is singular. Next we give a new classification of real hypersurfaces in the complex quadric Qm = SOm+2/SOmSO2 with parallel Ricci tensor.