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... 0) \to (C^k, 0)$, $f$ is real, we define a complex analytic family of quadratic forms parameterized by the points $\epsilon$ of the image $(C^k, 0)$ of the map $f$, which become real for real $\epsilon$, non degenerate for $\epsilon$ outside of the set of ...
... We prove that a rectifiable simple bundle of circles containing sufficiently many circles in general position is the image of a bundle of lines under some left or right quaternionic fractional transformation. ...
... The new results obtained in 2007 in [5] are Compression Theorems answering the following problem: describe embeddings of 3-manifolds into R6 are isotopic to an embedding whose image is in R5 (and the same problems for R5 replaced by R4 ). ...
... Gaussian images of surfaces and el lipticity of surface 14 (2004), , GAFA Geometric and Functional Analysis, [18] M. Brin, D. Burago, S. Ivanov, On partial ly hyperbolic dieomorphisms of 3-manifolds with commutative fundamental groups, In Modern Dynamical ...
... The universal enveloping associative dialgebra U (L) of a Leibniz algebra L is isomorphic (as a linear space) to S (Lalg ) L, where Lalg is the maximal Lie image of L. Corollary. ...
... for groups of types Bn , Cn , and Dn it occurs (may be, under some restrictions on the characteristic) that the images of almost all their representations do not contain matrices all whose eigenvalue multiplicities are small enough with respect to the ...