On caustics of submanifolds and canal hypersurfaces in Euclidean space-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On caustics of submanifolds and canal hypersurfaces in Euclidean space

Published:2012-02 Issue:2 Volume:159 Page:501-508
ISSN:0166-8641
Container-title:Topology and its Applications
language:en
Short-container-title:Topology and its Applications

Author:

Izumiya Shyuichi,Takahashi Masatomo

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference18 articles.

1. Singularities of Differentiable Maps, vol. I;Arnolʼd,1986

2. Singularities of Caustics and Wave Fronts;Arnolʼd,1990

3. The unfolding and determinacy theorems for subgroups of A and K;Damon;Mem. Amer. Math. Soc.,1984

4. The theory of caustics and wave front singularities with physical applications;Ehlers;J. Math. Phys.,2000

5. Lagrangian and Legendrian singularities;Goryunov,2007

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$;Research in the Mathematical Sciences;2024-03-16

2. CANAL HYPERSURFACES GENERATED BY NON-NULL CURVES IN LORENTZ-MINKOWSKI 4-SPACE;B KOREAN MATH SOC;2023

3. Geometric characterizations of canal hypersurfaces in Euclidean spaces;Filomat;2023

4. CANAL HYPERSURFACES ACCORDING TO GENERALIZED BISHOP FRAMES IN 4-SPACE;FACTA UNIV-SER MATH;2022

5. Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space;Thermal Science;2022

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP