Contact measures in isotropic spaces

Gil Solanes

doi:10.1016/j.aim.2017.07.008

Contact measures in isotropic spaces

Gil Solanes

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Resum

© 2017 Elsevier Inc. We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in Hermitian space.

Idioma original	Anglès
Pàgines (de-a)	645-664
Revista	Advances in Mathematics
Volum	317
DOIs	https://doi.org/10.1016/j.aim.2017.07.008
Estat de la publicació	Publicada - 7 de set. 2017

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10.1016/j.aim.2017.07.008

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title = "Contact measures in isotropic spaces",

abstract = "{\textcopyright} 2017 Elsevier Inc. We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in Hermitian space.",

keywords = "Contact measures, Integral geometry, Kinematic formulas, Valuations",

author = "Gil Solanes",

year = "2017",

month = sep,

day = "7",

doi = "10.1016/j.aim.2017.07.008",

language = "English",

volume = "317",

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journal = "Advances in Mathematics",

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publisher = "Academic Press Inc.",

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N2 - © 2017 Elsevier Inc. We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in Hermitian space.

AB - © 2017 Elsevier Inc. We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in Hermitian space.

KW - Contact measures

KW - Integral geometry

KW - Kinematic formulas

KW - Valuations

U2 - 10.1016/j.aim.2017.07.008

DO - 10.1016/j.aim.2017.07.008

M3 - Article

SN - 0001-8708

VL - 317

SP - 645

EP - 664

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Contact measures in isotropic spaces

Resum

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