203 research outputs found
An existence theorem for G-structure preserving affine immersions
We prove an existence result for local and global G-structure preserving
affine immersions between affine manifolds. Several examples are discussed in
the context of Riemannian and semi-Riemannian geometry, including the case of
isometric immersions into Lie groups endowed with a left-invariant metric, and
the case of isometric immersions into products of space forms.Comment: 31 page
Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces
Using the Spectral Theorem for unbounded self-adjoint operators we prove that
any countable family of Lagrangian subspaces of a symplectic Hilbert space
admits a common complementary Lagrangian.Comment: LaTeX2e, amsart.cls, 4 pages, no figure
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