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Baldwin, P. and Kiehn, R. M., 1991, "Cartan's Topological
, This was first presented at the Santa Barbara conference in Topology in Fluid
Dynamics. A much amplified version has been submitted for publication. Also see Kiehn 1992a

Bamberg, P. and Sternberg, S., 1990, A Course in Mathematics for Students of Physics. Vol I and II, (Cambridge University Press, Cambridge)

Berge, B., Pomeau, Y. and Vidal, C., 1984, Order within Chaos, (Wiley, NY) p. 161.

Bishop, R. L. and Goldberg, S. I., 1968, Tensor Analysis on Manifolds, (Dover, N. Y.) p. 199.

Cartan, E., 1899, "Sur certaine expressions differentielles et le systeme de Pfaff" Ann Ec. Norm. 16, p. 329.

Cartan, E., 1937, La Theorie des Spaces a Connexion Projective, Hermann, Paris, (1937)

Cartan, E., 1945, "Systems Differentials Exterieurs et leurs Applications Geometriques", Actualites sci. et industrielles , p .944.

Cartan, E., Lecons sur les invariants integrauxs, Hermann, Paris (1958).

Chern, S. S., 1944, "A Simple intrinsic proof of the Gauss -Bonnet formula for Closed Riemannian Manifolds", Annals of Math. 45, p. 747- 752.

Chern, S.S. ,1988, "Historical Remarks on Gauss-Bonnet", MSRI 04808-88, Berkeley, CA.

Croquette, V. and Williams, H., 1989, "Nonlinear of oscillatory instability on finite convective rolls", in Advances in Fluid Turbulence, edited by G. Doolen, R, Ecke, D. Holm and V. Steinberg, (North Holland, Amsterdam ) p. 300.

von Dantzig, D., 1934, "Electromagnetism Independent of metrical geometry", Proc. Kon. Ned. Akad. v. Wet. 37, pp. 521-531, 644-652, 825-836 .

Flanders, H., 1963, Differential Forms, (Academic Press, New York (1963), p. 92 .

Forsyth, A. R. (1959), Theory of Differential Equations (Dover, N.Y.) p.96

Frisch, U., 1991, "From global (Kolmogorov 1941) scaling to local (multifractal) scaling in fully developed turbulence" to appear in the Proc. Roy. Soc. A

Gellert, W., 1977, Editors, The VNR Concise Encyclopedia of Mathematics (Van Nostrand, New York ), p.686.

Greub, W., Halperin, S. and Vanstone, R., 1973, Connections, Curvature and Cohomology, (Academic Press, New York).

Hermann, R., 1968, Differential Geometry and the Calculus of Variations, (Academic Press, New York ), p. 254.

Hocking, J. G.,1961, Topology , (Addison Wesley, N.Y.), p.2.

Kida, S.,Yamada, M., and Ohkitani, K., 1989, " A route to chaos and turbulence" in Advances in Fluid Turbulence, edited by G. Doolen, R, Ecke, D. Holm and V. Steinberg, (North Holland, Amsterdam ) p. 116.

R. M. Kiehn and J. F. Pierce, (1969) "An Intrinsic Transport Theorem" , Phys Fluids 12 1971

Kiehn, R. M., (1974), "Modifications of Hamilton's Principle
to include Dissipation"
, J. Math Phys

R. M. Kiehn, (1975), "Conformal Invariance and Hamilton Jacobi theory for dissipative systems"
J. Math Phys. 16, 1032

Kiehn, R. M., 1975, "Submersive equivalence classes for metric fields", Lett. al Nuovo Cimento 14, p. 308.

Kiehn, R. M., (1975a), "A Geometric model for supersymmetry", Lett. al Nuovo Cimento 12, p. 300.

Kiehn, R. M. , (1975b), "Intrinsic hydrodynamics with applications
to space-time fluids"
, Int. J. of Eng. Sci. 13, p. 941.

Kiehn, R. M., (1976), "Retrodictive Determinism", Int.
J. of Eng. Sci. 14, p. 749

V. E. Sanders and R. M. Kiehn, (1977), "Dual Polarized Ring Lasers", IEEE J Quant Elec QE-13 739

R. M. Kiehn, (1977b) "Periods on manifolds, Quantization, and Gauge",J. Math Phys.18, 614

A. K. Schultz, R. M. Kiehn, E. J. Post and J. B. Roberds,(1979), " Lifting of the Four-fold EM Degeneracy and PT Symmetry" Physics Letters, 74A 384

Kiehn, R. M., (1986), "Falaco Solitons";, The recognition of Falaco solitons
was made in 1986 while in the swimming pool of a life long friend in Rio de Janeiro.
The concepts were first presented as a talk at the winter (1987) meeting of Dynamics Days in Austin,
and later at an APS meeting. Also see Kiehn 1991c and Kiehn 1992a.

Nov 1987. "Why are these disks dark?" with Sterling Phys Fluids 30 11

Kiehn (1988). APS meeting in Baltimore: with C. Daggs "Topological Torsion and the ABC flow"

Mar (1989). APS meeting at Houston.
" Talk with abstract:"Topological Torsion, Frenet Torsion, and Helicity Density"

Kiehn (1989) Invited panelist Unanswered questions in Fluid Mechanics SAF meeting of the ASME.
"Irreversible Topological Evolution in Fluid Mechanics" ASME 89-WA/FE-5 1989.

Kiehn, R. M., (1990a) "Topological Torsion, Pfaff Dimension
and Coherent Structures"
;, in: H. K. Moffatt and T. S. Tsinober eds, Topological Fluid Mechanics, (Cambridge University Press), 449-458 .

Kiehn, R. M., (1990b), "Irreversible Topological Evolution in Fluid Mechanics" in Some Unanswered Questions in Fluid Mechanics ASME- Vol. 89-WA/FE-5, Trefethen, L. M. and Panton, R. L. Eds.

Kiehn, R.M., Kiehn, G. P., and Roberds, R. B., (1991) HREF="../pd2/pd2fre10.htm">, "Parity
and Time-reversal symmetry Breaking, Singular Solutions and Fresnel Surfaces";, Phys Rev A, 43 , p. 5665

Kiehn, R. M. , (1991a), "Continuous Topological Evolution"
This article was first written in 1991, and presented at an APS meeting. Pieces were used in some of the
articles listed below. An updated version has been submittted for publication.

Kiehn, R. M.,(1991b) "Topological Parity and the turbulent state of a Navier Stokes Fluid", This article was presented as a poster at Dynamics Days. A
complete version has been submitted to Fluid DynamicsResearch

Kiehn, R. M., (1991c), "Compact Dissipative Flow Structures
with Topological Coherence Embedded in Eulerian Environments"
, in: Non-linear Dynamics of Structures, edited by R.Z. Sagdeev, U. Frisch, F. Hussain, S. S. Moiseev and N. S. Erokhin, (World Scientific Press, Singapore ) p.139-164.

Kiehn R. M., (1991d), "Are there three kinds of superconductivity", Int. J. of Mod. Phys. 10,1779

Kiehn, R. M.,(1992a) "Topological Defects, Coherent Structures
and Turbulence in Terms of Cartan's Theory of Differential Topology"
in "Developments in Theoretical and Applied Mathematics" Proceedings of the SECTAM XVI conference, B. N. Antar, R. Engels, A.A. Prinaris and T. H. Moulden, Editors, The University of Tennessee Space Institute, Tullahoma, TN 37388 USA.

Kiehn, R. M., (1992b) "Instability Patterns, Wakes and Topological
Limit Sets"
; Poitier IUTAM conference 1992. .

Kiehn, R. M., (1992c0 "Hydrodynamic Wakes and Minimal Surfaces
with Fractal Boundaries"
; Barcelona ERCOFTAC meeting.

Kiehn, R. M., (1994) "Topology and Turbulence"; 1994 APS abstract. Submitted.

Klein, F., 1955,Geometry from an elementary viewpoint, Dover.

Klein, J., 1962, Ann. Inst. AIFUB Fourier, Grenoble 12, p. 1 .

Kolmogorov, A. V. ,1941, Dolkl. Akad. Nauk SSSR, 31, p. 99 .

Lamb, H., 1937, Hydrodynamics, (Cambridge University Press) p. 617-619.

Landau, L. and Lifshitz, M, (1959) , Fluid Mechanics, (Pergamon Press, London ) p.106.

Lipschutz, S.1965, General Topology, (Schaum, New York) p.88.

Lovelock, D. and Rund, H., 1989, Tensors, Differential Forms and Variational Principles, (Dover, New York).

Meserve, B. E., 1983, Projective Geometry, (Dover, New York).

Nash, C. and Sen, S., 1989, Topology and Geometry for Physicists, (Academic Press, San Diego).

Schouten, J. A. and Van der Kulk, W.,1949, Pfaff's Problem and its Generalizations, (Oxford Clarendon Press)

Schultz, A., Kiehn, R. M., Post, E. J., and Roberds, R. B., 1979, "Lifting of the four fold EM degeneracy and PT asymmetry", Phys Lett 74A, p.384.

Schuster, H. G.,1984, Deterministic Chaos, Physics Verlag (1984)

Slebodzinsky, W., 1970, Exterior Forms and their Applications, (PWN Warsaw).

Stewart, I., 1988, The Problems of Mathematics, (Oxford, NY) p 177.

Zimin, V., 1991, "Hierarchical Models of Turbulence" in: Non-linear Dynamics of Structures, edited by R.Z. Sagdeev, U. Frisch, F. Hussain, S. S. Moiseev and N. S. Erokhin, (World Scientific Press, Singapore ) p.273-288.

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