Sven Sandfeldt

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20212024

most citedCentralizer classification and rigidity for some partially hyperbolic toral automorphisms

1 citations · 1 across the 5 of their papers we have counts for

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math.DS2024

Partially hyperbolic lattice actions on 2-step nilmanifolds

Homin Lee, Sven Sandfeldt

We prove global rigidity results for actions of higher rank lattices on nilmanifolds containing a partially hyperbolic element. We consider actions of higher rank lattices on tori…

math.DS2024

Classification of abelian actions with globally hypoelliptic orbitwise laplacian I: The Greenfield-Wallach conjecture on nilmanifolds

Sven Sandfeldt

For a $R^{k} -$ action generated by vector fields $X_{1}, ..., X_{k}$ we define an operator $- (X_{1}^{2} + ... + X_{k}^{2})$ , the orbitwise laplacian. In this paper, we study and…

math.DS2024

Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center

Sven Sandfeldt

We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2 -$ step nilmanifolds $X_{Γ}$ . We show that, under certain natural assumptions, all…