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September 10, 2025

Real hypersurfaces of S2×S2 S² S² and H2×H2 H² H² with parallel operators

Key Points

Real hypersurfaces were classified based on their relationship with parallel operators.
The study focuses on three operators: shape, structure Lie, and contact Lie.
The analysis covers real hypersurfaces in Kähler surfaces and hyperbolic spaces.
The findings enhance understanding of parallelism in geometric structures.

Abstract

Abstract On real hypersurafces of the Kähler surface and , there are three typical operators: the shape operator, the structure Lie operator, and the contact Lie operator. In this paper, we study real hypersurfaces in and related to these operators. As the main results, we classify real hypersurfaces of both and for which one of the preceding three operators is either parallel or ‐parallel.

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Cite This Study

Hu et al. (Tue,) studied this question.

synapsesocial.com/papers/68c1ae6654b1d3bfb60e61cb https://doi.org/https://doi.org/10.1002/mana.70024

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