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 ... -
A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition
Liu, Jiayin; Zhang, Shijin; Zhou, Yuan (Elsevier, 2024)We build up a quantitative second-order Sobolev estimate of lnw for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in ... -
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 ...