Integral formulas related to wave fronts

• Autorzy: Sergeĭ S. Anisov
• Języki publikacji: EN

Abstrakty

EN

In the first section of the paper we study some properties of oriented volumes of wave fronts propagating in spaces of constant curvature. In the second section, we generalize to an arbitrary isometric action of a Lie group on a Riemannian manifold the following principle: an extra pression inside of a ball does not move it.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 11-17

Daty

wydano

1999

Twórcy

autor

Sergeĭ S. Anisov

• Independent University of Moscow, Bol'shoĭ, Vlas'evskiĭ, 11, 121002 Moscow, Russia, and Institute for System Studies

Bibliografia

• [1] S. S. Anisov, The 'area-length' duality and the characteristic 2-chain (in Russian), Mat. Zametki 58:3 (1995), 445-446; English transl.: Math. Notes 58 (1995), 983-984.
• [2] V. I. Arnol'd, Singularities of ray systems (in Russian), Uspekhi Mat. Nauk 38:2 (1983), 77-147; English transl.: Russian Math. Surveys 38:2 (1983), 87-176.
• [3] V. I. Arnol'd, Mathematical Methods of Classical Mechanics, second ed., Springer, New York, 1989.
• [4] V. I. Arnol'd, The geometry of spherical curves and the algebra of quaternions (in Russian), Uspekhi Mat. Nauk 50:1 (1995), 3-68; English transl.: Russian Math. Surveys 50:1 (1995), 1-68.
• [5] A. Gray, Tubes, Addison-Wesley, Redwood City, 1990.
• [6] J. Milnor, Morse Theory, Ann. of Math. Stud. 51, Princeton Univ. Press, Princeton, 1963.