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Let \(I\subseteq \mathbb {R}\) be an open interval and \(\mathbb {R}^2_1\) the Minkowski plane. We study the surfaces immersed in the warped product \(I\times _f\mathbb {R}^2_1\) with a null principal direction and show they make a constant angle with respect to \(\partial _t\) . We further establish local characterization results under classical geometric assumptions.

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Constant Angle Surfaces in \(I\times _f\mathbb {R}^2_1\) with a Null Principal Direction

  • 会议论文

  • 发表日期：

    2025年

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  • Abraham Hernández,
  • Matias Navarro,
  • Didier A. Solis

摘要

Let \(I\subseteq \mathbb {R}\) be an open interval and \(\mathbb {R}^2_1\) the Minkowski plane. We study the surfaces immersed in the warped product \(I\times _f\mathbb {R}^2_1\) with a null principal direction and show they make a constant angle with respect to \(\partial _t\) . We further establish local characterization results under classical geometric assumptions.