Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces

التفاصيل البيبلوغرافية
العنوان: Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
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