Ivancevic_Applied-Diff-Geom

Index 1305Maxwell Lagrangian, 34Maxwell–Dirac duality, 724Mayer–Vietoris sequence, 660Mayer–Vietoris Theorem, 508mean curvature, 877mean–field theory, 1075Melnikov function, 348mental force law, 1097meromorphic 1–form, 725, 736mesoscopic order parameters, 1016metric, 468metric manifold, 705metric SEM–tensor, 924, 930, 936,1198metric space, 17metric tensor, 20midpoint discretization, 1019mirror symmetry, 1189model space, 147module, 1242moduli space, 35, 524, 720, 724momentum constraint equation, 977momentum map, 354, 372, 446momentum phase–space manifold,258, 340, 387, 837, 839, 844, 848monodromy, 738monodromy group, 738monoid, 129monoidal category, 129Montonen–Olive duality, 719, 1119Montonen–Olive mass formula, 722Morita–equivalent, 1250morphism of vector–fields, 173Morse function, 312, 1073, 1077Morse lemma, 1073Morse numbers, 1078Morse theory, 311, 1073, 1077, 1098Moser’s homotopy argument, 632motion planning, 262motivation–behavior conservationlaw, 606motivational factor manifold, 603motivational factor–structure, 603Moyal bracket, 1233Moyal product, 458, 470multi–index, 250, 879multiindex, 177multimomentum Hamiltonian, 938multivector–field, 608Nambu–Goto action, 1145, 1172, 1183natural geometrical structures, 128natural projection, 152Navier–Stokes equations, 83Neumann boundary condition, 1149neural path integral, 1045Neveu–Schwarz B–field, 1235, 1243Newman–Penrose equation, 965Newton’s Second Law, 23Newtonian equation of motion, 166Newtonian fluid, 82Newtonian mechanics, 22Nijenhuis differential, 614, 913Noether conservation lawweak, 923Noether conservation laws, 446Noether current, 923, 925Noether identities, 923Noether Theorem, 24, 879Noether–Lagrangian symmetry, 257Noetherian ring, 100non–Abelian field strength, 1191non–equilibrium nonlinearmultivariate, 1016Non–Euclidean geometry, 5noncommutative coordinates, 459noncommutative gravity theory, 463noncommutative phase–space, 459noncommutative product, 215noncommutative Yang–Mills theory,1234nondegenerate quadratic forms, 958nonholonomic connection, 536nonholonomic coordinates, 275nonlinear control system, 537nonlinear control theory, 1141nonlinear controllability criterion, 551nonlinear factor analysis, 603nonlinear MIMO–systems, 537nonlinear Schrödinger equation, 597nonlinear sigma model, 1145normal bundle, 490