Mathematical Sciences: Applications of Minimal Surfaces to  Curvature and Topology; Riemannian Manifolds and            Submanifolds
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{'SignBlockName': 'Trudy T. Sensibaugh', 'PO_EMAI': None, 'PO_PHON': None}
During the last decade Riemannian geometry has undergone a                 revolution following the introducton of new techniques from the                 theory of minimal surfaces. In recent joint work with M.Micallef,               the principal investigator has been at the forefront of these                   developments. In this work they strengthened the Klingenberg-                   Berger  sphere theorem. This involved use of Morse theory for                   minimal two-spheres. John Moore proposes to continue applying                   these innovative techniques to find further relationships between               curvature and topology for Riemannian manifolds. He will also be                studying submanifolds of low codimension in Euclidean space. The                proposed problems are both interesting and difficult. Not only                  would their solution be of significance, but the development of                 these new techniques is of great importance.
{'FirstName': 'John', 'LastName': 'Moore', 'PI_MID_INIT': 'D', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John D Moore', 'EmailAddress': 'moore@math.ucsb.edu', 'NSF_ID': '000312367', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Santa Barbara', 'CityName': 'SANTA BARBARA', 'ZipCode': '931060001', 'PhoneNumber': '8058934188', 'StreetAddress': '3227 CHEADLE HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '24', 'CONGRESS_DISTRICT_ORG': 'CA24', 'ORG_UEI_NUM': 'G9QBQDH39DF4', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SANTA BARBARA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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