CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPS Bk, Ck, AND F4 AND SINGULARITIES OF EVOLUTES
CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPS Bk, Ck, AND F4 AND SINGULARITIES OF EVOLUTES
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有边界流形上函数的临界点、简单李群Bk、Ck和F4以及演化奇异性
DOI：
10.1070/rm1978v033n05abeh002515
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发表时间：
1978
影响因子：
0.9
通讯作者：
V. Arnold
中科院分区：
文献类型：
--
作者：
V. Arnold
内容简介 § 1. 流形边界上函数简单临界点的分类 § 2. 凡形变形和分岔图 § 3. 消失环和半环 § 4. 交点的形式 § 5. 单向群 § 6. 椭圆奇点 § 7. 奇点分类 § 8. 奇点行列式 § 9. 一些推论 § 10. 进化家族的奇点 参考文献
Contents Introduction § 1. Classification of simple critical points of functions on the boundary of a manifold § 2. Versal deformations and bifurcation diagrams § 3. Vanishing cycles and half-cycles § 4. The form of intersections § 5. The monodromy group § 6. Elliptic singularities § 7. Classification of singularities § 8. The determinant of singularities § 9. Some corollaries § 10. Singularities of a family of evolutes References