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53-XX Differential geometry
53Axx Classical differential geometry
53A07 Higher-dimensional and -codimensional surfaces in Euclidean $n$ -space

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Surfaces in $𝕊^{3}$ and $ℍ^{3}$ via spinors

Bertrand Morel (2004/2005)

Séminaire de théorie spectrale et géométrie

We generalize the spinorial characterization of isometric immersions of surfaces in $ℝ^{3}$ given by T. Friedrich to surfaces in $𝕊^{3}$ and $ℍ^{3}$ . The main argument is the interpretation of the energy-momentum tensor associated with a special spinor field as a second fundamental form. It turns out that such a characterization of isometric immersions in terms of a special section of the spinor bundle also holds in the case of hypersurfaces in the Euclidean $4$ -space.

Surfaces with Parallel Normalized Mean Curvature Vector.

Bang-Yen Chen (1980)

Monatshefte für Mathematik

Symplectic applicability of Lagrangian surfaces.

Musso, Emilio, Nicolodi, Lorenzo (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Currently displaying 21 – 23 of 23