Published June 2003
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The scalar curvature problem on the four dimensional half sphere
Creators
- 1. Departement de Mathematiques, Faculte des Sciences de Sfax, Route Soukra, Sfax (Tunisia)
- 2. Abdus Salam International Centre for Theoretical Physics, Trieste (IT)
- 3. Faculte des Sciences et Techniques, Universite de Nouakchott, Nouakchott (MR)
- 4. Rheinische Friedrich-Wilhelms-Universitat Bonn, Mathematisches Institut, Bonn (DE)
Description
In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature for some metric conformal to the standard one. Our proof involves the study of critical points at infinity of the associated variational problem. (author)
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Additional details
Publishing Information
- Imprint Pagination
- 19 p.
- Report number
- IC--2003/47
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34085868
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; FOUR-DIMENSIONAL CALCULATIONS; GREEN FUNCTION; MATHEMATICAL SOLUTIONS; MEASURE THEORY; METRICS; NONLINEAR PROBLEMS; RIEMANN SPACE; SPHERES
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MATHEMATICS; SPACE
Optional Information
- Notes
- 34 refs