On the gluing formula for the analytic torsion

Autor:	Jochen Brüning, Xiaonan Ma
Rok vydání:	2012
Předmět:	General Mathematics Mathematical analysis Boundary (topology) Fundamental theorem of Riemannian geometry Levi-Civita connection symbols.namesake Product (mathematics) Flat vector bundle Metric (mathematics) symbols Analytic torsion Hermitian manifold Mathematics::Differential Geometry Mathematics
Zdroj:	Mathematische Zeitschrift. 273:1085-1117
ISSN:	1432-1823 0025-5874
Popis:	In this paper, we derive the Cheeger-Muller/Bismut-Zhang theorem for manifoldswithboundaryandthegluingformulafortheanalytictorsionofflatvectorbundles in full generality, i.e., we do not assume that the Hermitian metric on the flat vector bundle is flat nor that the Riemannian metric has product structure near the boundary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dfe9c3fe2628d1fbd48a05f28ed9da16 https://doi.org/10.1007/s00209-012-1045-5 Zobrazit plný text záznamu Full text from SpringerLink