Real hypersurfaces in $\mathbb {C}P^2$ or $\mathbb {C}H^2$ whose shape operator commutes with the Cho operators

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2025年6月10日

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Wenjie Wang

摘要

In this paper, it is proved that the shape operator commutes with the Cho operator associated to the Reeb vector field of a real hypersurface M in $\mathbb {C}P^2$ $C P^{2}$ or $\mathbb {C}H^2$ $C H^{2}$ if and only if M is locally congruent to a type (A) real hypersurface.

Real hypersurfaces in \(\mathbb {C}P^2\) or \(\mathbb {C}H^2\) whose shape operator commutes with the Cho operators

摘要