Prezentare
     Distinctii / Awards
     Departamente
     Cercetare
     Parteneri
     Alumni
     Sustenabilitate
     Oferta educationala
     Studenti
     Admitere
     Examen finalizare studii
     International
     Alegeri academice


Gabriela Bodea,, Clash-ul crizelor sau viclenia lumii asimetrice (Ediția a doua), Presa Universitară Clujeană, 2023
vezi si alte aparitii editoriale

Facebook LinkedIn Twitter
Contact
Str. Teodor Mihali, Nr. 58-60 400591,
Cluj Napoca, Romania
Tel: +40 264-41.86.55
Fax: +40 264-41.25.70

   
Universitatea Babes-Bolyai | Noutati UBB
FSEGA Online | FSEGA SIS | FSEGA Alumni | Sustenabilitate
Executive Education | FSEGA Student Job Market
Contact | Harta Site | Viziteaza FSEGA

Huang, L., Kristály, Al. & Zhao, W. (2020) Transactions of the American Mathematical Society [Matematică, Q1]

Autor: Ovidiu Ioan Moisescu

Publicat: 15 Ianuarie 2021


Huang, L., Kristály, Al. & Zhao, W. (2020) Sharp uncertainty principles on general Finsler manifolds. Transactions of the American Mathematical Society, 373(11), 8127-8161.

DOI: https://doi.org/10.1090/tran/8178

✓ Publisher: American Mathematical Society
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Mathematics
✓ Article Influence Score (AIS): 1.630 (2020) / Q1

Abstract: The paper is devoted to sharp uncertainty principles (Heisenberg-Pauli-Weyl, Caffarelli-Kohn-Nirenberg and Hardy inequalities) on forward complete Finsler manifolds endowed with an arbitrary measure. Under mild assumptions, the existence of extremals corresponding to the sharp constants in the Heisenberg-Pauli-Weyl and Caffarelli-Kohn-Nirenberg inequalities fully characterizes the nature of the Finsler manifold in terms of three non-Riemannian quantities, namely, its reversibility and the vanishing of the flag curvature and S-curvature induced by the measure, respectively. It turns out in particular that the Busemann-Hausdorff measure is the optimal one in the study of sharp uncertainty principles on Finsler manifolds. The optimality of our results are supported by Randers-type Finslerian examples originating from the Zermelo navigation problem.



inapoi la stiri   vezi evenimentele   home


       Copyright © 21-11-2024 FSEGA. Protectia datelor cu caracter personal FSEGA. Protectia datelor cu caracter personal UBB.
       Web Developer  Dr. Daniel Mican   Graphic Design  Mihai-Vlad Guta