
Accession Number : AD0619352
Title : VECTOR FIELDS AND INFINTESIMAL TRANSFORMATIONS ON ALMOSTHERMITIAN MANIFOLDS WITH BOUNDARY.
Descriptive Note : Revised ed.,
Corporate Author : LEHIGH UNIV BETHLEHEM PA
Personal Author(s) : Hilt,Arthur L. ; Hsiung,ChuanChih
Report Date : 01 OCT 1963
Pagination or Media Count : 29
Abstract : An investigation is made of vector fields and infinitesimal transformations on almostHermitian manifolds with boundary. Riemannian manifolds are considered, as well as Lie derivatives over the manifolds, local boundary geodesic coordinates, and integral formulas. A Killing vector field on a compact orientable Riemannian manifold is discussed, and almostHermitian, almostsemiKahlerian, and almostKahlerian structures are defined. Contravariant analytic vector fields are given consideration on an almostHermitian manifold M(n) with boundary B(n1), together with their relations to Killing, projective Killing, and conformal Killing vector fields. Covariant analytic vector fields on an almostHermitian manifold with boundary are studied as well as vector fields on an almostKahlerian manifold with boundary. (Author)
Descriptors : (*MATRICES(MATHEMATICS), CONFORMAL MAPPING), (*ALGEBRAIC TOPOLOGY, MATRICES(MATHEMATICS)), VECTOR ANALYSIS, TRANSFORMATIONS(MATHEMATICS), INTEGRALS, OPERATORS(MATHEMATICS), GEODESICS
Distribution Statement : APPROVED FOR PUBLIC RELEASE