Euclidean hypersurfaces with semi-parallel Moebius second fundamental form

2025/10/29 by M. S. R. Antas, Antas, Mateus, F. Manfio +1 · 1 citation
Mathematics · #53B25 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B25 #msc:53C40

paper · pdf · doi:10.48550/arxiv.2510.25937

8 pages

arxiv created 2026/07/30 · arxiv updated 2026/07/31

Abstract

In this paper, we classify umbilic-free hypersurfaces f: Mⁿ→ℝⁿ⁺¹, n ≥ 4, with semi-parallel Moebius second fundamental form and three distinct principal curvatures.

Cited by

• Normally flat submanifolds with semi-parallel Moebius second fundamental form

Related

• Normally flat submanifolds with semi-parallel Moebius second fundamental form
• On the Moebius deformable hypersurfaces
• H-hypersurfaces with at most 3 distinct principal curvatures in the Euclidean spaces
• CMC hypersurfaces with two principal curvatures
• A class of minimal hypersurfaces in ℚ^N(c)