Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1989, Volume 35, Pages 179–239 (Mi intd118)  
This article is cited in 14 scientific papers (total in 14 papers)

Quadratic mappings and smooth vector functions: Euler characteristics of level sets

A. A. Agrachev, R. V. Gamkrelidze
Full-text PDF (3337 kB) Citations (14)
Abstract: Quadratic maps of $R^N$ into $R^K$ are studied. Explicit expressions are obtained for the Euler characteristics of level sets of such maps. The Euler characteristics of level sets of smooth vector-valued functions are also evaluated in terms of their values at critical points.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 4, Pages 1892–1928
DOI: https://doi.org/10.1007/BF01095139
Bibliographic databases:
Document Type: Article
UDC: 517.974+515.164.152+515.164.174
Language: Russian
Citation: A. A. Agrachev, R. V. Gamkrelidze, “Quadratic mappings and smooth vector functions: Euler characteristics of level sets”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35, VINITI, Moscow, 1989, 179–239; J. Soviet Math., 55:4 (1991), 1892–1928
Citation in format AMSBIB
\Bibitem{AgrGam89}
\by A.~A.~Agrachev, R.~V.~Gamkrelidze
\paper Quadratic mappings and smooth vector functions: Euler characteristics of level sets
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1989
\vol 35
\pages 179--239
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd118}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1012331}
\zmath{https://zbmath.org/?q=an:0727.58009|0719.58013}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 4
\pages 1892--1928
\crossref{https://doi.org/10.1007/BF01095139}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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