Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Gil Solanes"'
Autor:
Jun O'Hara, Gil Solanes
Publikováno v:
Mathematische Nachrichten. 293:1014-1019
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ba4c4ca68bf04652932e240cbafeec1
https://doi.org/10.1002/mana.202000024
https://doi.org/10.1002/mana.202000024
The recently introduced Lipschitz-Killing curvature measures on pseudo-Riemannian manifolds satisfy a Weyl principle, i.e. are invariant under isometric embeddings. We show that they are uniquely characterized by this property. We apply this characte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f247a65aaad3f29f95a184a04364573
http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63610
http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63610
Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
We explore the notion of Santal\'o point for the Holmes-Thompson boundary area of a convex body in a normed space. In the case where the norm is $C^1$, and in the case where unit ball and convex body coincide, we prove existence and uniqueness. When
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17f7736d5a43b07f416b7f01e156cd63
https://ddd.uab.cat/record/250618
https://ddd.uab.cat/record/250618
Autor:
Gil Solanes, Thomas Wannerer
Publikováno v:
J. Differential Geom. 117, no. 1 (2021), 137-191
The algebras of valuations on $S^6$ and $S^7$ invariant under the actions of $\mathrm G_2$ and $\mathrm{Spin}(7)$ are shown to be isomorphic to the algebra of translation-invariant valuations on the tangent space at a point invariant under the action
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7be2b3c3f686950f9058caf80c3bff0e
https://doi.org/10.4310/jdg/1609902019
https://doi.org/10.4310/jdg/1609902019
Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant and unitary equivariant tensor valuations are computed. In addition, a b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acdaf769d6543f93c1609c3b16f9a5f9
Autor:
Gil Solanes, Jun O'Hara
Publikováno v:
Mathematische Nachrichten. 291:1356-1373
Given a closed submanifold, or a compact regular domain, in Euclidean space, we consider the Riesz energy defined as the double integral of some power of the distance between pairs of points. When this integral diverges, we compare two different regu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1eb1a974f120877f8f33ed52639e7b19
https://doi.org/10.1002/mana.201600083
https://doi.org/10.1002/mana.201600083
Autor:
Andreas Bernig, Gil Solanes
Publikováno v:
Proceedings of the London Mathematical Society. 115:725-762
We introduce different bases for the vector space of Sp(2)Sp(1)-invariant, translation invariant continuous valuations on the quaternionic plane and determine a complete set of kinematic formulas.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0655898966fb2253318436dc058f881f
https://doi.org/10.1112/plms.12050
https://doi.org/10.1112/plms.12050
The Weyl principle is extended from the Riemannian to the pseudo-Riemannian setting, and subsequently to manifolds equipped with generic symmetric $(0,2)$-tensors. More precisely, we construct a family of generalized curvature measures attached to su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8babce4337091fb1fc30e1c652fdf6e6
http://arxiv.org/abs/1910.09635
http://arxiv.org/abs/1910.09635
Publikováno v:
Analytic Aspects of Convexity ISBN: 9783319718330
The local kinematic formulas on complex space forms induce the structure of a commutative algebra on the space CurvU(n)∗ of dual unitarily invariant curvature measures. Building on the recent results from integral geometry in complex space forms, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2a14879625f5e374a86220d98c7f140
https://doi.org/10.1007/978-3-319-71834-7_1
https://doi.org/10.1007/978-3-319-71834-7_1
Autor:
Gil Solanes, Andreas Bernig
Publikováno v:
Journal of Functional Analysis. 267:2933-2961
We describe the orbit space of the action of the group $\mathrm{Sp}(2)\mathrm{Sp}(1)$ on the real Grassmann manifolds $\mathrm{Gr}_k(\mathbb{H}^2)$ in terms of certain quaternionic matrices of Moore rank not larger than $2$. We then give a complete c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a94badba22e45cc812632233e0387025
https://doi.org/10.1016/j.jfa.2014.06.017
https://doi.org/10.1016/j.jfa.2014.06.017