Mathematical Sciences: Differential Geometry and Partial    Differential Equations
{'Code': '03040108', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator, Richard Schoen, will continue                  his research on the construction of Riemannian metrics satisfying               curvature equations, and on differential equations involving                    mappings between Riemannian manifolds.  He will study the Yamabe-               type problem for non-compact manifolds.  For compact manifolds he               will investigate certain geometrically natural uniqueness                       questions.  For harmonic maps, he will consider regularity                      questions for stationary maps, existence questions for higher                   critical points of the energy functional, and generic uniqueness                questions for minima.  He also intends to study a geometrically                 natural functional which is unchanged upon replacement of a map                 by its inverse.  This should be a useful tool for studying                      situations involving one-one maps.                                                   The construction of metrics with certain curvature                         restrictions is an important aspect of differential geometry with               ramifications in mathematical physics.
{'FirstName': 'Richard', 'LastName': 'Schoen', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard M Schoen', 'EmailAddress': 'rschoen@math.uci.edu', 'NSF_ID': '000271304', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Stanford University', 'CityName': 'STANFORD', 'ZipCode': '943052004', 'PhoneNumber': '6507232300', 'StreetAddress': '450 JANE STANFORD WAY', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '16', 'CONGRESS_DISTRICT_ORG': 'CA16', 'ORG_UEI_NUM': 'HJD6G4D6TJY5', 'ORG_LGL_BUS_NAME': 'THE LELAND STANFORD JUNIOR UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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