Ivancevic_Applied-Diff-Geom

1300 Applied Differential Geometry: A Modern Introductionexterior product, 669external configuration manifold, 47extraordinary cohomology theory, 508extremal, 25, 84extremal path, 84extrinsic view, 4faces, 5Faddeev–Popov procedure, 1107, 1126family of probability distributions,333Faraday line, 706Faraday tensor, 124feature–space, 159feedback linearization, 539Fermi–Dirac statistics, 34Feynman, 31Feynman diagram, 1142Feynman kernel, 996Feynman path integral, 86, 983, 989,994, 1079Feynman quantization, 85Feynman–Vernon formalism, 1041fibre, 150, 487fibre bundle, 15fibre–derivative, 258field strength, 1234fields, 84filtration, 670final state, 85finite–time probability distribution,1033Finsler curvature tensor, 319Finsler energy function, 316Finsler information structure, 334Finsler manifold, 316Finsler metric, 334Finsler–Lagrangian field theory, 321first Cauchy law of motion, 81first integral, 339first superstring revolution, 41first variation, 878first variational formula, 841, 883,884, 919first–order Lagrangian formalism,801, 929, 957first–stage reducible, 1125fixed point, 340flag, 534flow, 172, 607flow line, 168flow property, 172flux class, 627flux group, 625flux homomorphism, 644Fock space, 527, 1148Fock state, 991Fokker–Planck, 87Fokker–Planck equation, 591, 988,989, 1023foliation, 533, 553force equation, 342force–field psychodynamics, 1079forced Lagrangian equation, 535formal exponential, 173four fundamental forces, 33Fourier transform, 461Frölicher–Nijenhuis bracket, 613, 913frame bundle, 530Fredholm operator, 520, 1114, 1246free group action, 208free motion equation, 832free string, 1139Freed–Hopkins–Teleman Theorem,526Frobenius Theorem, 553Frobenius–Cartan criterion, 263functional, 83functional manifold, 268Fundamental Theorem of calculus,482Galilei group, 210gauge condition, 1014gauge field, 34, 527gauge form, 513gauge group, 30, 513, 731, 869gauge Lie group, 527gauge potentials, 921gauge theories, 34gauge transformation, 35, 490gauge transformations, 1234