The Ernst equation as a motion on a universal Grassmann manifold
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Publication:1822696
DOI10.1007/BF01238436zbMath0679.35077MaRDI QIDQ1822696
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Partial differential equations on manifolds; differential operators (58J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)
Related Items (2)
Linear double universal Grassmann manifold method for the stationary axisymmetric vacuum gravitational field equations ⋮ The conformal factor in the SAS Einstein-Maxwell field equations and a central extension of a formal loop group
Cites Work
- A new approach to the self-dual Yang-Mills equations
- Complete integrability of the Kadomtsev-Petviashvili equation
- Witten's gauge field equations and an infinite-dimensional Grassmann manifold
- Formal power series solutions of the stationary axisymmetric vacuum Einstein equations
- Explicit description of ansatz E n for the Ernst equation in general relativity
- Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
- Two related families of determinantal solutions of the stationary axially symmetric vacuum Einstein equations
- On a linearisation of the stationary axially symmetric Einstein equations
- Proof of a Geroch conjecture
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