The Möbius Geometry of Wintgen Ideal Submanifolds

DOI10.1007/978-4-431-55215-4_37zbMath1333.53093arXiv1404.1440OpenAlexW1509815906MaRDI QIDQ5258528

Xiang Ma, Zhenxiao Xie

Publication date: 23 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1440

zbMATH Keywords

scalar curvatureRiemannian submersionmean curvature vectorMöbius geometryconformal Gauss mapDDVV inequalityWintgen ideal submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (5)

Wintgen ideal submanifolds: new examples, frame sequence and Möbius homogeneous classification ⋮ Wintgen ideal submanifolds with vanishing Möbius form ⋮ Three special classes of Wintgen ideal submanifolds ⋮ Wintgen ideal submanifolds: reduction theorems and a coarse classification ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds

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