نتایج جستجو برای: hyperbolic surface
تعداد نتایج: 658617 فیلتر نتایج به سال:
Ventricular enlargement is an important biomarker of Alzheimer’s disease (AD). However, ventricular surface morphometry analysis remains challenging due to its complicated and branching topological structure. Here we propose a novel ventricular surface registration algorithm based on the hyperbolic Ricci flow and geodesic curve lifting methods for ventricular shape morphometry study. Unlike pri...
In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.
We show that free-by-free groups satisfying a homological criterion, which we call excessive homology, are incoherent. This class is large in nature, including many examples of hyperbolic and non-hyperbolic groups. apply this criterion to finite index subgroups F 2 ?F n incoherence all such groups, other similar classes Furthermore, free-by-free, surface-by-surface, finitely generated-by-RAAG, ...
Let M be a closed oriented 3-manifold which can be triangulated with N simplices. We prove that any map from M to a genus 2 surface has Hopf invariant at most C . Let X be a closed oriented hyperbolic 3-manifold with injectivity radius less than ǫ at one point. If there is a degree non-zero map from M to X, then we prove that ǫ is at least C . In the 1970’s, Thurston invented simplex straighten...
We develop a canonical Wick rotation-rescaling theory in 3-dimensional gravity. This includes (a) A simultaneous classification: this shows how generic maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface, as well as complex projective structures on arbitrary surfaces, are all different materializations of “more fundamental” encoding stru...
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