Mathematical Sciences: Differential Structures
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{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
Eugenio Calabi will continue studying obstructions to the                  existence of a metric with constant curvature on a compact                      Riemann surface with finitely many prescribed singularities;                    Bernstein problems associated with convex surfaces having                       extremal, affinely invariant area; relations between the                        singularities of minimal subvarieties and their Morse index.                         Hermann Gluck will continue his work on minimizing cycles in               homogeneous spaces; the Blaschke problem and fibrations of                      spheres by great spheres; and the topology of the space of Morse-               Smale vector fields on surfaces.                                                     Wolfgang Ziller will carry out research into Einstein                      metrics, calibrations and the rigidity of symmetric spaces.                          Calabi's research is in the area of geometric variational                  problems. The problems he will study concern extremal Kahler                    metrics, the affine Plateau problem and a variational theory of                 geodesics and minimal subvarieties. Gluck will be continuing the                search for the subvarieties of Lie groups and homogeneous spaces                which are volume minimizing in their homology classes. He will                  also work on the famous Blaschke conjecture that every Blaschke                 manifold is isometric to a round sphere or projective space. His                work on Morse-Smale vector fields is concerned with finding the                 homotopy type of the components of the set of such fields on the                two-sphere. Ziller's work on Einstein metrics is concerned with                 finding information about manifolds which admit such metrics,                   that is, having constant Ricci curvature. His work on symmetric                 spaces involves making local changes on the metric whilst                       preserving the bounds on the curvature. Such changes result in                  metrics isometric to the original metric. He will also use the                  method of calibrations to investigate which subgrassmannians have               minimal volume in their homology class.
[{'FirstName': 'Herman', 'LastName': 'Gluck', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Herman R Gluck', 'EmailAddress': 'gluck@math.upenn.edu', 'NSF_ID': '000163434', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Eugenio', 'LastName': 'Calabi', 'PI_MID_INIT': 'N', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Eugenio N Calabi', 'EmailAddress': 'calabi@math.upenn.edu', 'NSF_ID': '000103352', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'University of Pennsylvania', 'CityName': 'PHILADELPHIA', 'ZipCode': '191046205', 'PhoneNumber': '2158987293', 'StreetAddress': '3451 WALNUT ST STE 440A', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '03', 'CONGRESS_DISTRICT_ORG': 'PA03', 'ORG_UEI_NUM': 'GM1XX56LEP58', 'ORG_LGL_BUS_NAME': 'TRUSTEES OF THE UNIVERSITY OF PENNSYLVANIA, THE', 'ORG_PRNT_UEI_NUM': 'GM1XX56LEP58'}
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[{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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