On the Grassmann image of a four-dimensional submanifold inE6
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Abstract
The four-dimensional submanifold F4 in the six-dimensional Euclidean space E6 is considered. The relation between the curvature of Grassmannian manifold G2,6 along the Grassmann image of a two-dimensional area element from the tangent space to F4 ⊂ E6 and the projection of a four-dimensional section onto a three-dimensional space is clarified.
Keywords
Manifold Euclidean Space Tangent Space Area Element Grassmann Image
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References
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© Plenum Publishing Corporation 1994