Submanifolds of codimension two attaining equality in an extrinsic inequality

DOI10.1017/S0305004108001813zbMath1163.53034arXiv0802.0805OpenAlexW2964176518MaRDI QIDQ3616243

Marcos Dajczer, Ruy Tojeiro

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0805

zbMATH Keywords

scalar curvatureisometric immersionspace formsnormal curvature tensormean curvature vector.

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Pseudo-symmetries of generalized Wintgen ideal Lagrangian submanifolds, DDVV-type inequality for Hermitian matrices, The normal Ricci curvature inequality, Wintgen ideal submanifolds: new examples, frame sequence and Möbius homogeneous classification, Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms, A generalized Wintgen inequality for quaternionic CR-submanifolds, Variational formulas of higher order mean curvatures, Wintgen ideal submanifolds with vanishing Möbius form, Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature, DDVV-type inequality for skew-symmetric matrices and Simons-type inequality for Riemannian submersions, Möbius geometry of three-dimensional Wintgen ideal submanifolds in \(\mathbb S^5\), Three special classes of Wintgen ideal submanifolds, Wintgen ideal submanifolds: reduction theorems and a coarse classification, Wintgen ideal submanifolds with a low-dimensional integrable distribution, Normal scalar curvature conjecture and its applications, Recent developments in Wintgen inequality and Wintgen ideal submanifolds, Some generalizations of the DDVV and BW inequalities

Cites Work

• Normal curvature of surfaces in space forms
• Some remarks on the geometry of austere manifolds
• Submanifolds with Nonparallel First Normal Bundle