VECTOR FIELDS AND INFINTESIMAL TRANSFORMATIONS ON ALMOST-HERMITIAN MANIFOLDS WITH BOUNDARY.
LEHIGH UNIV BETHLEHEM PA
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An investigation is made of vector fields and infinitesimal transformations on almost-Hermitian manifolds with boundary. Riemannian manifolds are considered, as well as Lie derivatives over the manifolds, local boundary geodesic co-ordinates, and integral formulas. A Killing vector field on a compact orientable Riemannian manifold is discussed, and almost-Hermitian, almost-semiKahlerian, and almost-Kahlerian structures are defined. Contravariant analytic vector fields are given consideration on an almost-Hermitian manifold Mn with boundary Bn-1, together with their relations to Killing, projective Killing, and conformal Killing vector fields. Covariant analytic vector fields on an almost-Hermitian manifold with boundary are studied as well as vector fields on an almost-Kahlerian manifold with boundary. Author