Equivalence of glancing hyper-surfaces. (English) Zbl 0354.53033


53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53B25 Local submanifolds
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[1] Caratheodory, C.: Calculus of variations and partial differential equations of the first order, Part I. San Francisco: Holden-Day 1965
[2] Golubitsky, M., Guillemin, V.: Stable mappings and their singularities, GTM 14, New York: Springer 1973 · Zbl 0294.58004
[3] Golubitsky, M., Guillemin, V.: Contact equivalence for Lagrangian manifolds. Adv. Math.15, 375-387 (1975) · Zbl 0295.57018
[4] Melrose, R. B.: Microlocal parametrices for diffractive boundary value problems. Duke J.42, 605-635 (1975) · Zbl 0368.35055
[5] Melrose, R. B.: Microlocal parametrices for boundary value problems with gliding points. In preparation · Zbl 0368.35055
[6] Ogiue, K.: Contact structure and its environs,in Seminar on contact manifolds. Publications of the study group of geometry. Okayama University, 1970 · Zbl 0216.43801
[7] Poenaru, V.: Analyse differentielle, LNM 371. Berlin-Heidelberg-New York: Springer 1970
[8] Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudo-differential equations.In: Hyperfunctions and pseudo-differential equations, LNM 287. Berlin-Heidelberg-New York: Springer 1971
[9] Sternberg, S.: Lectures of differential geometry. Englewood Cliffs: Prentice-Hall 1964 · Zbl 0129.13102
[10] Taylor, M. E.: Grazing rays and reflection of singularities of solutions to wave equations. Comm. Pure Appl. Math.24, 1-38 (1976) · Zbl 0318.35009
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