کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898320 1631338 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost complex structures on spheres
ترجمه فارسی عنوان
ساختارهای تقریبا پیچیده در حوزه ها
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper we review the well-known fact that the only spheres admitting an almost complex structure are S2 and S6. The proof described here uses characteristic classes and the Bott periodicity theorem in topological K-theory. This paper originates from the talk “Almost Complex Structures on Spheres” given by the second author at the MAM1 workshop “(Non)-existence of complex structures on S6”, held in Marburg from March 27th to March 30th, 2017. It is a review paper, and as such no result is intended to be original. We tried to produce a clear, motivated and as much as possible self-contained exposition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 57, April 2018, Pages 10-22
نویسندگان
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