On Riemannian polyhedra with non-obtuse dihedral angles in 3-manifolds with positive scalar curvature
MANUSCRIPTA MATHEMATICA(2024)
摘要
We determine the combinatorial types of all the 3-dimensional simple convex polytopes in R-3 that can be realized as mean curvature convex (or totally geodesic) Riemannian polyhedra with non-obtuse dihedral angles in Riemannian 3-manifolds with positive scalar curvature. This result can be considered as an analogue of Andreev's theorem on 3 dimensional hyperbolic polyhedra with non-obtuse dihedral angles. In addition, we construct many examples of such kind of simple convex polytopes in higher dimensions.
更多查看译文
关键词
51M20,51F15,52B10,53C23,57M50,57S12
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要