In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented. A partial characterization of spherical quasi-convexity on spherical Lorentz sets is given, and some examples are provided.

中文翻译：

---

关于球次凸集上二次函数的球面拟凸性

本文研究了球面对偶凸集上二次函数的球面拟凸性。给出了球面亚双凸集上球面拟凸性的充分条件。给出了球面洛伦兹集上球面拟凸性的部分刻画，并给出了一些例子。