This work is devoted to one of the sections of modern Riemannian geometry, the theory of
homogeneous Riemannian manifolds, ie, those Riemannian manifolds on which a certain …

Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems Page
1 BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 54 …

We find possible values of curvature of the Grassmann manifold along the planes tangential
to the Grassmann image of a two-dimensional nonisotropic surface with flat normal …

A bstract In this paper, we discuss generalizations of the classical Bianchi–Bäcklund
transformation of two-dimensional pseudo-spherical surfaces in three-dimensional spaces …

In this paper, the multidimensional affine immersions with° flat connections of maximal
pointwise codimension are studied. The estimates on the dimensions of kernel and the …

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Degenerate Bianchi Transformations for Three-Dimensional Pseudo-Spherical Submanifolds
in $${\mathbb {R}}^5$$ | SpringerLink Skip to main content Advertisement SpringerLink Log in …

This article follows the author's talk at the satellite conference ''Lobachevskii readings''held
in Kazan in July 2022. We present a short review of publications concerning the history and …

Рассматривается задача о восстановлении неизотропной поверхности пространства
Минковского по ее грассманову образу в глобальном аспекте. Эта задача сводится к …

We propose the classification of points of a submanifold in the Euclidean space in terms of
the indicatrix of normal curvature up to projective transformation and give a necessary …