Fronts of Whitney umbrella – a differential geometric approach via blowing up
Journal of Singularities, Tome 4 (2012), pp. 35-67

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We investigate the differential geometric ingredients for Whitney umbrella, which is known as the only stable singularity of surface to 3-dimensional Euclidean space. We obtain several criteria of the singularity types of fronts of Whitney umbrella in terms of differential geometric language we discuss.
DOI : 10.5427/jsing.2012.4c
Classification : 53A05, 58K20
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     author = {Toshizumi Fukui and Masaru Hasegawa},
     title = {Fronts of {Whitney} umbrella {\textendash} a differential geometric approach via blowing up},
     journal = {Journal of Singularities},
     pages = {35--67},
     publisher = {mathdoc},
     volume = {4},
     year = {2012},
     doi = {10.5427/jsing.2012.4c},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4c/}
}
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Toshizumi Fukui; Masaru Hasegawa. Fronts of Whitney umbrella – a differential geometric approach via blowing up. Journal of Singularities, Tome 4 (2012), pp. 35-67. doi: 10.5427/jsing.2012.4c

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