Curvature computations for \(n\)-manifolds in \(\mathbb{R}^{n+m}\) and solution to an open problem proposed by R. Goldman

DOI10.1016/j.cagd.2006.11.003zbMath1171.65359OpenAlexW2170079559MaRDI QIDQ733401

Qin Zhang, Guo-liang Xu

Publication date: 16 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.11.003

zbMATH Keywords

implicit surfacesco-dimensioncurvature formulas

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Classical differential geometry (53A99)

Related Items (3)

THE UNIQUENESS REPRESENTATION OF NORMAL CURVATURE OF PARAMETRIC SURFACE ⋮ Optimization over geodesics for exact principal geodesic analysis ⋮ Total mean curvature of positively curved hypersurfaces

Cites Work

• Curvature formulas for implicit curves and surfaces
• Matrix Analysis
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