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GEOMETRIC, TOPOLOGICAL AND DIFFERENTIABLE RIGIDITY OF SUBMANIFOLDS IN SPACE FORMS
GEOMETRIC TOPOLOGICAL DIFFERENTIABLE RIGIDITY SUBMANIFOLDS SPACE FORMS
2018/4/19
Let M be an n-dimensional submanifold in the simply connected space form Fn+p(c) with c + H2 > 0, where H is the mean curvature of M. We verify that if Mn(n ≥ 3) is an oriented compact submanifold wit...
Rigidity of the topological dual of spaces of formal series with respect to product topologies
Topological fields topological duals product topology infinite matrices
2011/2/22
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purpos...
We consider an irreducible Anosov automorphism L of a torus Td such that no three eigenvalues have the same modulus. We show that L is locally rigid, that is, L is C1+H¨older conjugate to any C1-small...