Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3‐Space
Author(s) -
Zhigang Wang,
Donghe Pei,
Liang Chen,
Lingling Kong,
Qixing Han
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/823809
Subject(s) - mathematics , minkowski space , gravitational singularity
Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric invariants of null Cartan curves; these invariants are deeply related to the order of contact of null Cartan curves with tangential planar bundle of lightcone. Finally, we give an example to illustrate our findings
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