Riemannin kuvauslause
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Le temps de l’écriture : genèse, durée, représentations
Leblay, Christophe (Jyväskylän yliopisto, 2011)This work focuses on writing as a process describable, registering in time and space, rather than the text. This choice is based on the theoretical and methodological assumption, that, contrary to what one might expect, ... -
Pestov identities and X-ray tomography on manifolds of low regularity
Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ... -
First-order heat content asymptotics on RCD(K,N) spaces
Caputo, Emanuele; Rossi, Tommaso (Elsevier, 2024)In this paper, we prove first-order asymptotics on a bounded open set of the heat content when the ambient space is an RCD(K, N) space, under a regularity condition for the boundary that we call measured interior geodesic ... -
Translating Solitons Over Cartan–Hadamard Manifolds
Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka; De Lira, Jorge H. (Springer Science and Business Media LLC, 2023)We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan–Hadamard manifolds. We show that the asymptotic behavior of entire solitons depends heavily on ... -
Volume growth, capacity estimates, p-parabolicity and sharp integrability properties of p-harmonic Green functions
Björn, Anders; Björn, Jana; Lehrbäck, Juha (Hebrew University Magnes Press; Springer, 2023)In a complete metric space equipped with a doubling measure supporting a p-Poincaré inequality, we prove sharp growth and integrability results for p-harmonic Green functions and their minimal p-weak upper gradients. We ...