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arXiv.org e-Print Archive
Preprint . 2016
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Other literature type . 2018
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https://doi.org/10.2969/aspm/0...
Article . 2018 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2016
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Singularities of frontals

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 03 Oct 2018Embargo end date: 01 Jan 2016Publisher:Mathematical Society of JapanJournal:Advanced Studies in Pure Mathematics (issn: 0920-1971, Copyright policy )
Authors: Ishikawa, Goo;

doi: 10.2969/aspm/07810055 , 10.48550/arxiv.1609.00488

arXiv: 1609.00488

Abstract

In this survey article we introduce the notion of frontals, which provides a class of generalised submanifolds with singularities but with well-defined tangent spaces. We present a review of basic theory and known studies on frontals in several geometric problems from singularity theory viewpoints. In particular, in this paper, we try to give some of detailed proofs and related ideas, which were omitted in the original papers, to the basic and important results related to frontals.

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Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53B05, 58K40

  • BIP!
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    selected citations
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    		 16
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
Green