Short communications

Four-dimensional Ricci-flat space defined by the KP-equation

Valery Dryuma

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: Four-dimensional affinely connected Ricci-flat space depending of solutions of the Kadomtsev–Petviashvili equation is constructed. Conditions of metrizabilty of corresponding connection are investigated. Its properties are discussed.

Keywords and phrases: Riemann extensions, geodesic equations, Kadomtzev–Petviashvili equation.

MSC: 34C14

Received: 05.10.2008

Language: English

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