کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11028538 | 1646775 | 2018 | 39 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Real hyperbolic hyperplane complements in the complex hyperbolic plane
ترجمه فارسی عنوان
هیپرپلم هیپربولیک واقعی مکمل در هواپیما هذلولی پیچیده است
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
This paper studies Riemannian manifolds of the form MâS, where M4 is a complete four dimensional Riemannian manifold with finite volume whose metric is modeled on the complex hyperbolic plane CH2, and S is a compact totally geodesic codimension two submanifold whose induced Riemannian metric is modeled on the real hyperbolic plane H2. In this paper we write the metric on CH2 in polar coordinates about S, compute formulas for the components of the curvature tensor in terms of arbitrary warping functions (Theorem 7.1), and prove that there exist warping functions that yield a complete finite volume Riemannian metric on MâS whose sectional curvature is bounded above by a negative constant (Theorem 1.1(1)). The cases of MâS modeled on HnâHnâ2 and CHnâCHnâ1 were studied by Belegradek in [4] and [3], respectively. One may consider this work as “part 3” to this sequence of papers.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 1038-1076
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 1038-1076
نویسندگان
Barry Minemyer,