Semiumbilics and 2-regular immersions of surfaces in Euclidean spaces
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Publication:812503
DOI10.1216/rmjm/1181069688zbMath1093.53007OpenAlexW2013684475MaRDI QIDQ812503
S. M. Moraes, María Carmen Romero Fuster
Publication date: 24 January 2006
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181069688
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Embeddings in differential topology (57R40)
Related Items (5)
Conformal invariants and spherical contacts of surfaces in \(\mathbb R^4\) ⋮ Contact properties of codimension 2 submanifolds with flat normal bundle ⋮ ASYMPTOTIC CURVES ON SURFACES IN ℝ5 ⋮ Characterization of spherical immersions of surfaces in \(\mathbb{R}^{4}\) ⋮ Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\)
Cites Work
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- Principal configurations and umbilicity of submanifolds in \(\mathbb R^N\)
- Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
- The geometry of surfaces in 4-space from a contact viewpoint
- On singularities of submanifolds of higher dimensional Euclidean spaces
- Inflection points and topology of surfaces in 4-space
- The Geometry of Immersions. I
- Integral formulas for submanifolds and their applications
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