Abstract
Listing's law states that visual directions of sight are related to rotations of the eye so that all rotation axes lie in a plane. The geometry ofSO(3) indicates several plausible algorithms how the human brain could relate vision to eye movements satisfying Listing's law, and suggests crucial experiments which we have carried out.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Changeux, J.P., Connes, A.: Matière à pensée. Paris: Jacob 1989
Robinson, D.A.: Control of eye movements. In: Handbook of physiology — The nervous system. II. Brooks, V.B. (ed.). Baltimore, MD: Williams and Wilkins 1981
Berthoz, A., Melvill Jones, G. (eds.). Adaptive mechanisms in gaze control. Amsterdam: Elsevier 1985
Wurtz, R.H., Goldberg, M.E. (eds.): The neurobiology of saccadic eye movements. Amsterdam: Elsevier 1989
Haustein, W.: Biol. Cybern.60, 411–420 (1989)
Sternberg, S.: Lectures on differential geometry. Englewood Cliffs, NJ: Prentice Hall 1964
Helmholtz, H. von: Handbuch der physiologischen Optik. Hamburg: Voss 1896
Ferman, L., Collewijn, H., van den Berg, A.V.: Vision Res.27, 929–938, 939–951 (1987)
Tweed, D., Vilis, T.: Ann. N.Y. Acad. Sci.545, 128–139 (1989)
Hess, B.J.M. et al.: (In preparation)
Simpson, J.I., Rudinger, D., Reisine, H., Henn, V.: Neurosci. Abstr.12, 325–326 (1986)
Sparks, D.L., Mays, L.E.: Brain Res.190, 39–50 (1980)
Vilis, T., Hepp, K., Schwarz, U., Henn, V.: Exp. Brain Res.77, 1–11 (1989)
Tweed, D., Vilis, T.: Neural Networks3, 75–86 (1990)
Robinson, D.A., Zee, D.S. In: Progress in oculomotor research. Fuchs, A.F., Becker, W. (eds.). Amsterdam: Elsevier 1981
Hepp, K., Henn, V.: Lecture Notes in Physics, vol. 284, pp. 163–177. Berlin, Heidelberg, New York: Springer 1987
van Opstal, J., Henn, V., Hess, B.J.M., Straumann, D., Hepp, K.: Neurosci. Abstr.16 (1990)
Hepp, K., Jost, R., Ruelle, D., Steinmann, O.: Helv. Phys. Acta34, 542–544 (1961)
Hepp, K., van Opstal, J., Hess, B.J.M., Straumann, D., Henn, V.: Neurosci. Abstr.16 (1990)
Straumann, D., Hepp, K., Hepp-Reymond, M.-C., Haslwanter, T.: Neurosci. Abstr.16 (1990)
Bernstein, N.: The co-ordination and regulation of movements. Oxford: Pergamon Press 1967
Schwartz, A.B., Kettner, R.E., Georgopoulos, A.P.: J. Neurosci.8, 2913–2927, 2928–2937, 2938–2947 (1988)
Author information
Authors and Affiliations
Additional information
Communicated by A. Jaffe
Dedicated to Res Jost and Arthur Wightman
Rights and permissions
About this article
Cite this article
Hepp, K. On Listing's law. Commun.Math. Phys. 132, 285–292 (1990). https://doi.org/10.1007/BF02278012
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02278012