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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm1419https://doi.org/10.1070/SM2005v196n09ABEH003644 https://www.mathnet.ru/eng/sm/v196/i9/p23
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