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1	Elliptic theory on manifolds with nonisolated singularities : V. Index formulas for elliptic problems on manifolds with edges Nazaikinskii, Vladimir, Savin, Anton, Schulze, Bert-Wolfgang, Sternin, Boris January 2003 (has links) For elliptic problems on manifolds with edges, we construct index formulas in form of a sum of homotopy invariant contributions of the strata (the interior of the manifold and the edge). Both terms are the indices of elliptic operators, one of which acts in spaces of sections of finite-dimensional vector bundles on a compact closed manifold and the other in spaces of sections of infinite-dimensional vector bundles over the edge. manifold with edge elliptic problem index formula symmetry conditions Mathematics
2	Elliptic theory on manifolds with nonisolated singularities : I. The index of families of cone-degenerate operators Nazaikinskii, Vladimir, Savin, Anton, Schulze, Bert-Wolfgang, Sternin, Boris January 2002 (has links) We study the index problem for families of elliptic operators on manifolds with conical singularities. The relative index theorem concerning changes of the weight line is obtained. AN index theorem for families whose conormal symbols satisfy some symmetry conditions is derived. elliptic family conormal symbol relative index index formulas symmetry conditions Mathematics