کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893562 1533773 2013 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on sub-Riemannian structures associated with complex Hopf fibrations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
A note on sub-Riemannian structures associated with complex Hopf fibrations
چکیده انگلیسی

Sub-Riemannian structures on odd-dimensional spheres respecting the Hopf fibration naturally appear in quantum mechanics. We study the curvature maps for such a sub-Riemannian structure and express them using the Riemannian curvature tensor of the Fubini-Study metric of the complex projective space and the curvature form of the Hopf fibration. We also estimate the number of conjugate points of a sub-Riemannian extremal in terms of the bounds of the sectional curvature and the curvature form. It presents a typical example for the study of curvature maps and comparison theorems for a general corank 1 sub-Riemannian structure with symmetries done by C. Li and I. Zelenko (2011) in [2].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 65, March 2013, Pages 1–6
نویسندگان
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