Título:
Fold maps associated to geodesic random walks on non-positively curved manifolds
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Autor:
Lessa Echeverriarza, Pablo
Oliveira, Lucas
Oliveira, Lucas
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Tipo de documento:
Preprint
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Descriptores:
MATHEMATICS - DIFFERENTIAL GEOMETRY
MATHEMATICS - PROBABILITY
GEODESIC RANDOM WALK
SPHERICAL MEAN OPERATOR
FOLD MAPS
MATHEMATICS - PROBABILITY
GEODESIC RANDOM WALK
SPHERICAL MEAN OPERATOR
FOLD MAPS
Año de publicación:
2020
Contenido:
Resumen:
We study a family of mappings from the powers of the unit tangent sphere at a point to a complete Riemannian manifold with non-positive sectional curvature, whose behavior is related to the spherical mean operator and the geodesic random walks on the manifold. We show that for odd powers of the unit tangent sphere the mappings are fold maps. Some consequences on the regularity of the transition density of geodesic random walks, and on the eigenfunctions of the spherical mean operator are discussed and related to previous work.
Descripción:
Versión permitida preprint.
Publicado tambien en: Hokkaido Math. J. 2023, 52(1) : 75-96. DOI: 10.14492/hokmj/2020-439
Publicado tambien en: Hokkaido Math. J. 2023, 52(1) : 75-96. DOI: 10.14492/hokmj/2020-439
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Editorial:
arXiv
EN:
Mathematics (Differential Geometry), arXiv:2003.07255v1, mar. 2020, pp 1-11
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Citación:
Lessa Echeverriarza, P y Oliveira, L. "Fold maps associated to geodesic random walks on non-positively curved manifolds" [Preprint]. Publicado en: Mathematics (Differential Geometry). 2020, arXiv:2003.07255v1, mar. 2020, pp 1-11
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Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2003.07255v1.pdf | — | 231.07 KB | Adobe PDF |