The Theory of Lie Derivatives and Its Applications |
Contents
Preface | 1 |
LIE DERIVATIVES OF GENERAL GEOMETRIC | 18 |
GROUPS OF TRANSFORMATIONS LEAVING | 30 |
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Common terms and phrases
admit a group admits an infinitesimal affine motions affine space BOCHNER completely integrable complex space components conformal motion consequently constant curvature coordinate system covariant derivative covariant differentiations curvature tensor denote ds ds espaces Finsler space functions geometric object group G group of affine group of homothetic group of motions Hermitian homogeneous homogeneous functions homothetic motions infinitesimal transformation integrability conditions Killing vector leaves invariant LEMMA Lie derivative linear connexion London Math manifold motions of order n-dimensional necessary and sufficient obtain one-parameter group parameter point transformation Proc projective connexion projective motion projectively Euclidean r-parameter group Ricci tensor satisfied scalar scalar curvature SCHOUTEN space admits space of k-spreads symmetric system with respect THEOREM torsion tensor transitive group V₁ vanish w₂ YANO zero ΓΚ μ μ μλ μλ μλ νμλ