Singularities of wave fronts at the boundary between two media
Oleg Myasnichenko (1996)
Banach Center Publications
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Oleg Myasnichenko (1996)
Banach Center Publications
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Eric Westenberger (2005)
Revista Matemática Complutense
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In this paper we present constructions of real hypersurfaces with many simple singularities and deduce an asymptotical optimal existence result for hypersurfaces corresponding to T-smooth germs of the equisingular stratum. We proceed along the lines of Shustin-Westenberge (2004) where analogous results were shown for the complex case.
Aleksey Davydov (1995)
Banach Center Publications
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Deshmukh, Sharief, Al-Solamy, Falleh R. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Ripoll, Jaime, Tojeiro, Ruy (2001)
Beiträge zur Algebra und Geometrie
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Yingbo Han (2010)
Archivum Mathematicum
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In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form , . We also get some rigidity theorems for such spacelike submanifolds.
Piotr Jaworski (1994)
Annales Polonici Mathematici
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Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.
Svetislav M. Minčić (2011)
Kragujevac Journal of Mathematics
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Kostadin Trenčevski (2012)
Kragujevac Journal of Mathematics
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Yuri Egorov (1992)
Banach Center Publications
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Deshmukh, Sharief, Al-Odan, Haila, Shaman, Tahany A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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