Grassmann manifolds and the Grassmann image of submanifolds

DOI10.1070/RM1991v046n02ABEH002742zbMath0742.53017OpenAlexW1970677112MaRDI QIDQ3980223

Yury A. Nikolayevsky, Alexander A. Borisenko

Publication date: 26 June 1992

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1991v046n02abeh002742

zbMATH Keywords

Grassmann manifoldsExterior geometryGrassmannian images

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items

Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\) ⋮ Grassmann image of non-isotropic surface of pseudo-Euclidean space ⋮ Minimal isoparametric submanifolds of $\mathbb{S}^7$ and octonionic eigenmaps ⋮ Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications ⋮ The deformation pseudotensor of connections in cocongruence K (n - m)m ⋮ Differential geometry of Grassmannians and the Plücker map ⋮ A Grassmann manifold handbook: basic geometry and computational aspects ⋮ Compactness of immersions with local Lipschitz representation ⋮ Order of Tangency Between Manifolds ⋮ On the existence of a surface in the pseudo-Euclidean space with given Grassmann image ⋮ The Grassmann-like manifold of centered planes ⋮ The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature ⋮ Unnamed Item ⋮ Degenerate Bäcklund transformation ⋮ Generalization of the Bianchi-Bäcklund transformation of pseudo-spherical surfaces ⋮ An even Clifford diamond ⋮ Maximal commutative subalgebras of a Grassmann algebra ⋮ Non-immersion theorem for a class of hyperbolic manifolds