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Sbornik: Mathematics, 2005, Volume 196, Issue 9, Pages 1271–1305
DOI: https://doi.org/10.1070/SM2005v196n09ABEH003644 (Mi sm1419) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the index of elliptic operators on manifolds with edges

V. E. Nazaikinskiia, A. Yu. Savinb, B. Yu. Sterninb, B.-W. Schulzec

a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
b Independent University of Moscow
c University of Potsdam
English version PDF (433 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM2005v196n09ABEH003644
Abstract: Necessary and sufficient conditions for the representation of the index of elliptic operators on manifolds with edges in the form of the sum of homotopy invariants of symbols on the smooth stratum and on the edge are found. An index formula is obtained for elliptic operators on manifolds with edges under symmetry conditions with respect to the edge covariables.
Received: 06.10.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 9, Pages 23–58
DOI: https://doi.org/10.4213/sm1419
Bibliographic databases:
UDC: 517.168.5
MSC: Primary 58J05, 58J20, 58J32; Secondary 19Kxx, 19Lxx
Language: English
Original paper language: Russian
Citation: V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, “On the index of elliptic operators on manifolds with edges”, Mat. Sb., 196:9 (2005), 23–58; Sb. Math., 196:9 (2005), 1271–1305
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    References:54
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