Tube formulas for valuations in complex space forms

Gil Solanes; Juan Andrés Trillo

doi:10.1007/s00208-024-02929-2

Tube formulas for valuations in complex space forms

Gil Solanes, Juan Andrés Trillo

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

Resum

Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.

Idioma original	Anglès
Pàgines (de-a)	881-913
Nombre de pàgines	33
Revista	Mathematische Annalen
Volum	391
DOIs	https://doi.org/10.1007/s00208-024-02929-2
Estat de la publicació	Publicada - 16 de jul. 2024

Accés al document

10.1007/s00208-024-02929-2Llicència: Creative Commons Reconeixement

https://ddd.uab.cat/record/300740

Altres arxius i enllaços

Invariantes locales y globales en geometria
Solanes Farres, G. (PI), Balacheff , F. N. (Investigador/a Principal 2), Rubio Nuñez, R. (Col.laborador/a), Gallego Gomez, E. (Investigador/a), Heusener, M. (Investigador/a), Marin Perez, D. (Investigador/a), Meersseman, L. (Investigador/a), Nicolau Reig, M. (Investigador/a), Porti Pique, J. (Investigador/a), Reventos Tarrida, A. (Investigador/a) & Mijares Verdú, S. (Col.laborador/a)
Ministerio de Ciencia e Innovación (MICINN)
1/01/19 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

Com citar-ho

@article{8000440136ca44f08c20b233476572d0,

title = "Tube formulas for valuations in complex space forms",

abstract = "Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.",

keywords = "Convolution, Integral geometry, Kinematic formulas, Manifolds",

author = "Gil Solanes and Trillo, {Juan Andr{\'e}s}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = jul,

day = "16",

doi = "10.1007/s00208-024-02929-2",

language = "English",

volume = "391",

pages = "881--913",

journal = "Mathematische Annalen",

issn = "1432-1807",

publisher = "Springer New York",

}

TY - JOUR

T1 - Tube formulas for valuations in complex space forms

AU - Solanes, Gil

AU - Trillo, Juan Andrés

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/7/16

Y1 - 2024/7/16

N2 - Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.

AB - Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.

KW - Convolution

KW - Integral geometry

KW - Kinematic formulas

KW - Manifolds

UR - http://www.scopus.com/inward/record.url?scp=85198729054&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/2d7a5653-d627-3f99-940d-c5e5074a1060/

U2 - 10.1007/s00208-024-02929-2

DO - 10.1007/s00208-024-02929-2

M3 - Article

SN - 1432-1807

VL - 391

SP - 881

EP - 913

JO - Mathematische Annalen

JF - Mathematische Annalen

ER -

Tube formulas for valuations in complex space forms

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Projectes

Invariantes locales y globales en geometria

Com citar-ho