Non-embedding theorems of nilpotent Lie groups and sub-Riemannian manifolds
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DOI: 10.1007/s11464-020-0823-3
Abstract: We prove that there do not exist quasi-isometric embeddings of connected nonabelian nilpotent Lie groups equipped with left invariant Riemannian metrics into a metric measure space satisfying the curvature-dimension condition RCD (0, N ) with… read more here.
Keywords: nilpotent lie; non embedding; lie groups; embedding theorems ... See more keywords
L-cut splitting of translation surfaces and non-embedding of pseudo-Anosovs (in genus two)
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DOI: 10.4064/cm6956-6-2017
Abstract: We introduce a concept of a pair of parallel L-cuts on a translation surface, conjecture existence of such pairs for surfaces of genus g > 1, and find them for g = 2. We discuss… read more here.
Keywords: genus two; cut splitting; non embedding; translation ... See more keywords