Mathematical Sciences: Mathematical Studies of Gravity and  Other Fields in Spacetime
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{'SignBlockName': 'Trudy T. Sensibaugh', 'PO_EMAI': None, 'PO_PHON': None}
James Isenberg will apply the methods of modern geometrical                analysis to examine certain questions arising in the study of                   gravitational and other fields in spacetime. The techniques to be               applied will arise from Lie group theory, symplectic geometry,                  algebraic geometry, and the theory of elliptic and hyperbolic                   partial differential equations.                                                      Amongst the questions to be studied are 1) Is it true that                 all spacetimes which satisfy Einstein's equations and are                       extendible across a compact Cauchy horizon must contain Killing                 vector fields? 2) Can the class of spatially homogeneous                        solutions of the Einstein Yang-Mills equations be treated as a                  finite dimensional dynamical system? 3) Can the behavior of                     constant mean curvature surfaces or hypersurfaces be                            systematically analyzed near singular regions in the ambient                    manifold?
{'FirstName': 'James', 'LastName': 'Isenberg', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James A Isenberg', 'EmailAddress': 'isenberg@uoregon.edu', 'NSF_ID': '000211357', 'StartDate': '06/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Oregon Eugene', 'CityName': 'EUGENE', 'ZipCode': '974031905', 'PhoneNumber': '5413465131', 'StreetAddress': '1776 E 13TH AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oregon', 'StateCode': 'OR', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OR04', 'ORG_UEI_NUM': 'Z3FGN9MF92U2', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF OREGON', 'ORG_PRNT_UEI_NUM': 'Z3FGN9MF92U2'}
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[{'Code': '1244', 'Text': 'Gravity Theory'}, {'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}]
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