Results 1 to 10 of about 21,179 (72)
Hyperbolic Unfoldings of Minimal Hypersurfaces
Analysis and Geometry in Metric Spaces, 2018 We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
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Stability for hyperbolic groups acting on boundary spheres
Forum of Mathematics, Sigma, 2023 A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary ...
Kathryn Mann, Jason Fox Manning
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Potential Theory on Gromov Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2022 Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov ...
Kemper Matthias, Lohkamp Joachim
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Żuk’s criterion for Banach spaces and random groups
Forum of Mathematics, Sigma, 2023 We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplicial complexes. Using this new criterion, we derive a new fixed point theorem for random groups in the Gromov density model with respect to several classes ...
Izhar Oppenheim
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Curves on K3 surfaces in divisibility 2
Forum of Mathematics, Sigma, 2021 We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2.
Younghan Bae, Tim-Henrik Buelles
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A characterization of high transitivity for groups acting on trees
Discrete Analysis, 2022 A characterization of high transitivity for groups acting on trees, Discrete Analysis 2022:8, 63 pp. Consider the group of all permutations of a countable set $X$ that leave all but a finite number of points fixed.
Pierre Fima +3 more
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Finiteness of cominuscule quantum K-theory [PDF]
, 2012 The product of two Schubert classes in the quantum K-theory ring of a homogeneous space X = G/P is a formal power series with coefficients in the Grothendieck ring of algebraic vector bundles on X. We show that if X is cominuscule, then this power series
Buch, Anders +3 more
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The Boundary at Infinity of a Rough CAT(0) Space
Analysis and Geometry in Metric Spaces, 2014 We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces.
Buckley S.M., Falk K.
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Schwarz Reflection Principle, Boundary Regularity and Compactness for J-Complex Curves [PDF]
, 2009 We establish the Schwarz Reflection Principle for $J$-complex discs attached to a real analytic $J$-totally real submanifold of an almost complex manifold with real analytic $J$.
Ivashkovich, S., Sukhov, A.
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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