تقرير
Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
العنوان: | Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces |
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المؤلفون: | Diaz-Ramos, Jose Carlos, Dominguez-Vazquez, Miguel, Rodriguez-Vazquez, Alberto |
سنة النشر: | 2020 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C35 (Primary), 57S20, 53C40 (Secondary) |
الوصف: | We conclude the classification of cohomogeneity one actions on symmetric spaces of rank one by classifying cohomogeneity one actions on quaternionic hyperbolic spaces up to orbit equivalence. As a by-product of our proof, we produce uncountably many examples of inhomogeneous isoparametric families of hypersurfaces with constant principal curvatures in quaternionic hyperbolic spaces. Comment: 33 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2005.09314 |
رقم الأكسشن: | edsarx.2005.09314 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |