7,487 research outputs found
On new examples of Hamiltonian-minimal and minimal Lagrangian submanifolds in and
We propose a new method for the construction of Hamiltonian-minimal and
minimal Lagrangian immersions of some manifolds in and in . By this
method one can construct, in particular, immersions of such manifolds as the
generalized Klein's bottle , the multidimensional torus, , , and others. In some cases these immersions are
embeddings. For example, it is possible to embed the following manifolds:
, , .Comment: 16 page
Baker-Akhiezer Modules on Rational Varieties
The free Baker-Akhiezer modules on rational varieties obtained from by identification of two hypersurfaces are
constructed. The corollary of this construction is the existence of embedding
of meromorphic function ring with some fixed pole into the ring of matrix
differential operators in variables
On some algebraic examples of Frobenius manifolds
We construct some explicit quasihomogeneous algebraic solutions to the
associativity (WDVV) equations by using analytical methods of the finite gap
integration theory. These solutions are expanded in the uniform way to
non-semisimple Frobenius manifolds.Comment: 14 page
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