Courbures et basculements des sous-variétés riemanniennes

DOI10.24033/msmf.323zbMath0595.53023OpenAlexW2584396089MaRDI QIDQ3726927

Henry Maillot

Publication date: 1986

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1986_2_22__1_0

zbMATH Keywords

pitchingrollingcentral subspaceline of curvaturecentral pointTubesinstantaneous translationareal curvatureendomorphism of balanceendomorphisme de basculetheorem of Joachimsthal

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (3)

Extrinsic geometry and higher order contacts of surfaces in $\mathbb R^5$ ⋮ Invariants and quasi-umbilicity of timelike surfaces in Minkowski space \(\mathbb R^{3,1}\) ⋮ Geometric invariants of surfaces in \(\mathbb R^4\).

Cites Work

• Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula
• Endomorphisme de bascule et courbure areolaire d'une sous-variété d'une variété riemannienne
• Minimal varieties in Riemannian manifolds
• On the Total Curvature of Immersed Manifolds
• Morse Theory. (AM-51)
• Differential geometry of geodesic spheres.
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
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