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タイトル: | The duality of abnormal extremals on subriemannian Cartan structures (Theory of singularities of smooth mappings and around it) |
著者: | Kitagawa, Yumiko |
著者名の別形: | キタガワ, ユミコ |
キーワード: | 58A15 58A17 58A20 58A30 subriemannian geometry control system cartan theory |
発行日: | Apr-2016 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B55 |
開始ページ: | 111 |
終了ページ: | 131 |
抄録: | A subriemannian manifold (M, D, g) is a differential manifold M equipped with a subbundle D of the tangent bundle TM of M. We emphasize abnormal extremals (abnormal geodesics) in subriemannian geometry and in particular show results of abnormal extremals on Cartan distributions of growth (2, 3, 5). The subriemannian geometry is very important in differential geometry and it is closely related to the control theory. |
記述: | "Theory of singularities of smooth mappings and around it". November 25~29, 2013. edited by Takashi Nishimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/241308 |
出現コレクション: | B55 Theory of singularities of smooth mappings and around it |
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