Constant Angle Surfaces in $\mathbb {M}^2_1(\kappa )\times {\mathbb {R}}$

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发表日期：

2025年6月17日

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Lorenzo Pellegrino

摘要

In this paper we investigate constant angle surfaces in the Lorentzian product space $\mathbb {M}^2_1(\kappa )\times {\mathbb {R}}$ $M_{1}^{2} (κ) \times R$ obtained by the product of a constant sectional curvature Lorentzian surface $\mathbb {M}^2_1(\kappa )$ $M_{1}^{2} (κ)$ and a Riemannian real line. We provide a complete classification of such surfaces and we also explore geometric properties such as minimality and constancy of the mean curvature.

Constant Angle Surfaces in \(\mathbb {M}^2_1(\kappa )\times {\mathbb {R}}\)

摘要