Loxodromes on Invariant Surfaces in Three-Manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1439-2
Abstract: In this paper, we prove some results concerning the loxodromes on an invariant surface in a three-dimensional Riemannian manifold, a part of which generalizes classical results about loxodromes on rotational surfaces in $${{\mathbb {R}}}^3$$. In… read more here.
Keywords: invariant surface; invariant surfaces; three manifolds; loxodromes invariant ... See more keywords
Taut contact circles and bi-contact metric structures on three-manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-017-9555-3
Abstract: Geiges and Gonzalo (Invent. Math. 121:147–209 1995, J. Differ. Geom. 46:236–286 1997, Acta. Math. Vietnam 38:145–164 2013) introduced and studied the notion of taut contact circle on a three-manifold. In this paper, we introduce a… read more here.
Keywords: three manifolds; taut contact; contact metric; structure ... See more keywords
Asymptotically flat three-manifolds contain minimal planes
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DOI: 10.1016/j.aim.2018.08.010
Abstract: Let $(M,g)$ be an asymptotically flat $3$-manifold containing no closed embedded minimal surfaces. We prove that for every point $p\in M$ there exists a complete properly embedded minimal plane in $M$ containing $p$. read more here.
Keywords: manifolds contain; contain minimal; minimal planes; three manifolds ... See more keywords
Haah codes on general three-manifolds
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DOI: 10.1016/j.aop.2019.168014
Abstract: Haah codes represent a singularly interesting gapped Hamiltonian schema that has resisted a natural generalization, although recent work shows that the closely related type I fracton models are more commonplace. These type I siblings of… read more here.
Keywords: haah codes; three manifolds; general three; codes general ... See more keywords
Singularity of connection Ricci flow for three-manifolds
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DOI: 10.1063/1.5001337
Abstract: We study the long-time behavior of the solution to the connection Ricci flow on closed three-manifolds. The connection Ricci flow is a generalization of the Ricci flow to connection with torsion. We compare the evolving… read more here.
Keywords: ricci flow; three manifolds; connection ricci; ricci ... See more keywords