Grassmann image of non-isotropic surface of pseudo-Euclidean space

DOI10.3103/S1066369X17020074zbMath1371.53055OpenAlexW2594573440MaRDI QIDQ2399419

M. A. Grechneva, P. G. Stegantseva

Publication date: 23 August 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17020074

zbMATH Keywords

sectional curvatureGrassmann manifoldpseudo-Euclidean spaceGrassmann image of surfaceindicatrix of normal curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

On differential geometry of ρ-dimensional complexes $C^{\rho}(1,1)$ of $m$-dimensional planes of the projective space $P^n$ ⋮ TO PROJECTIVE DIFFERENTIAL GEOMETRY OF 5–DIMENSIONAL COMPLEXES 2–DIMENSIONAL PLANES IN PROJECTIVE SPACE P5 ⋮ ON THE STRUCTURE OF SOME COMPLEXES OF m–DIMENSIONAL PLANES IN THE PROJECTIVE SPACE Pn CONTAINING A FINITE NUMBER OF DEVELOPABLE SURFACES. II ⋮ Unnamed Item

Cites Work

• An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space
• Grassmann manifolds and the Grassmann image of submanifolds
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
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