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Izvestiya: Mathematics, 2006, Volume 70, Issue 2, Pages 307–362
DOI: https://doi.org/10.1070/IM2006v070n02ABEH002314 (Mi im547) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On differential invariants of geometric structures

R. A. Sarkisyan
English version PDF (633 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM2006v070n02ABEH002314
Abstract: We prove that if the fibre dimension $m$ of a bundle of geometric structures exceeds the dimension $n$ of its base, then the number of sufficiently general functionally independent local differential invariants of the bundle increases to infinity as the differential degree of these invariants grows. For $m\le n$ we describe all but two canonical forms to which every sufficiently general geometric structure can be reduced by an appropriate coordinate change on the base. The results obtained may be generalized.
Received: 06.10.2003
Revised: 12.01.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 2, Pages 99–158
DOI: https://doi.org/10.4213/im547
Bibliographic databases:
UDC: 514.763
MSC: 53A55, 58A20, 58H05
Language: English
Original paper language: Russian
Citation: R. A. Sarkisyan, “On differential invariants of geometric structures”, Izv. RAN. Ser. Mat., 70:2 (2006), 99–158; Izv. Math., 70:2 (2006), 307–362
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v70/i2/p99
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:554
    Russian version PDF:253
    English version PDF:14
    References:77
    First page:3
     
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