ON SYSTOLIC ZETA FUNCTIONS
| Autor: | Daniel Massart, Ivan Babenko |
|---|---|
| Přispěvatelé: | Institut Montpelliérain Alexander Grothendieck ( IMAG ), Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ), ANR-12-BS01-0009,Finsler,Géométrie de Finsler et applications ( 2012 ), Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), ANR-12-BS01-0009,Finsler,Géométrie de Finsler et applications(2012) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Mathematics - Differential Geometry
0209 industrial biotechnology Pure mathematics General Mathematics [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 02 engineering and technology Algebraic geometry Homology (mathematics) 01 natural sciences Dirichlet distribution symbols.namesake Polyhedron 020901 industrial engineering & automation stable norm FOS: Mathematics Mathematics::Metric Geometry 0101 mathematics 53C22 53C23 systole Mathematics::Symplectic Geometry ComputingMilieux_MISCELLANEOUS Mathematics 010102 general mathematics Mathematical analysis Physics::History of Physics zeta function [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG] Differential Geometry (math.DG) [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] symbols Mathematics::Differential Geometry |
| Zdroj: | European Journal of Mathematics European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. 〈10.1007/s40879-017-0181-1〉 European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. ⟨10.1007/s40879-017-0181-1⟩ |
| ISSN: | 2199-675X 2199-6768 |
| DOI: | 10.1007/s40879-017-0181-1〉 |
| Popis: | International audience; We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As a consequence we obtain an inequality analogous to Gromov's classical intersystolic inequality, but taking the whole homology length spectrum into account rather than just the systole. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink