On nonlinear equations associated with developable, ruled and minimal surfaces
An examples of solutions of nonlinear differential equations associated with developable, ruled and minimal surfaces are constructed.
physics.gen-ph↗
arXiv subjects
V. Dryuma
Publications and source records attributed to V. Dryuma.
Multidimensional the Ricci-flat spaces defined by nonlinear equations
An examples of multidimensional the Ricci-flat spaces defined by nonlinear differential equations are constructed. Their properties are discussed.
physics.gen-ph↗
On nonlinear equations connected with six-dimensional Plebanski space
An examples of Monge-Ampere equations connected with six-dimensional generalization of the Plebanski four-dimensional space are considered. Their particular solutions are constructed.
physics.gen-ph↗
On the Riemann Extension of the Gödel Space-Time metric
Some properties of the Gödel space-time metric and its Riemann extension are studied
gr-qc↗
On the theory of spaces of constant curvature
Some examples of three-dimensional metrics of constant curvature defined by solutions of nonlinear integrable differential equations and their generalizations are constructed. The properties of Riemann extensions of the metrics of constant curvature are studied. The connection with the theory of normal Riemann spaces are discussed.
math.DG↗
On the Riemann Extension of the Schwarzschild Metric
Some solutions of the Einstein equations for the eight-dimensional Riemann extension of the classical four-dimensional Schwarzschild metric are considered.
gr-qc↗