Classification of constant sectional curvature hypersurfaces in H²×H², with a special example having non-constant product angle function, plus byproduct classifications for constant angle and constant mean or scalar curvature.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Hypersurfaces in class A of Q_c1^k × Q_c2^{n-k+1} are constructed from parallel families of hypersurfaces in the factors, with CMC cases reduced to isoparametric families plus a second-order ODE.
citing papers explorer
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Hypersurfaces of $\mathbb{H}^2\times\mathbb{H}^2$ with constant sectional curvature
Classification of constant sectional curvature hypersurfaces in H²×H², with a special example having non-constant product angle function, plus byproduct classifications for constant angle and constant mean or scalar curvature.
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On a class of hypersurfaces of a product of two space forms
Hypersurfaces in class A of Q_c1^k × Q_c2^{n-k+1} are constructed from parallel families of hypersurfaces in the factors, with CMC cases reduced to isoparametric families plus a second-order ODE.