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Title: The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary

In this paper, we define lower dimensional volumes of spin manifolds with boundary. We compute the lower dimensional volume V ol{sub 6}{sup (1,3)} for 6-dimensional spin manifolds with boundary and derive the gravity on boundary from the noncommutative residue associated with Dirac operators. For 6-dimensional manifolds with boundary, we also get a Kastler-Kalau-Walze type theorem for a general fourth order operator.
Authors:
 [1] ;  [2]
  1. School of Science, Tianjin University of Technology and Education, Tianjin 300222 (China)
  2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024 (China)
Publication Date:
OSTI Identifier:
22403145
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATION RELATIONS; DIRAC OPERATORS; GRAVITATION; QUANTUM ELECTRODYNAMICS; SPIN