On the submanifolds of the Riemannian manifolds.
New approach for the submanifolds of the Euclidean space.
Principal directions for submanifolds imbedded in Euclidean spaces of arbitrary codimensions.
Solutions of Analytical Systems of Partial Differential Equations
In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).
On parallel vector fields of subbundles of vector bundles with linear and nonlinear connections.
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