Dirac operator on spaces with conical singularities

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6741344

Chou, A W

The Dirac operator on compact spaces with conical singularities is studied via the separation of variables formula and the functional calculus of the Dirac Laplacian on the cone. A Bochner type vanishing theorem which gives topological obstructions to the existence of non-negative scalar curvature k greater than or equal to 0 in the singular case is proved. An index formula relating the index of the Dirac operator to the A-genus and Eta-invariant similar to that of Atiyah-Patodi-Singer is obtained. In an appendix, manifolds with boundary with non-negative scalar curvature k greater than or equal to 0 are studied, and several new results on constructing complete metrics with k greater than or equal to on them are obtained.

• Research Organization: State Univ. of New York, Stony Brook (USA)
• OSTI ID: 6741344
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFIGURATION
CONICAL CONFIGURATION
DIRAC OPERATORS
FUNCTIONALS
FUNCTIONS
LAPLACIAN
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
METRICS
QUANTUM OPERATORS
SINGULARITY
SPACE
TOPOLOGY