# Integral formulas related to wave fronts

Banach Center Publications (1999)

- Volume: 50, Issue: 1, page 11-17
- ISSN: 0137-6934

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topAnisov, Sergeĭ. "Integral formulas related to wave fronts." Banach Center Publications 50.1 (1999): 11-17. <http://eudml.org/doc/209000>.

@article{Anisov1999,

abstract = {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.},

author = {Anisov, Sergeĭ},

journal = {Banach Center Publications},

keywords = {oriented volume; wave front; space of constant curvature},

language = {eng},

number = {1},

pages = {11-17},

title = {Integral formulas related to wave fronts},

url = {http://eudml.org/doc/209000},

volume = {50},

year = {1999},

}

TY - JOUR

AU - Anisov, Sergeĭ

TI - Integral formulas related to wave fronts

JO - Banach Center Publications

PY - 1999

VL - 50

IS - 1

SP - 11

EP - 17

AB - 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.

LA - eng

KW - oriented volume; wave front; space of constant curvature

UR - http://eudml.org/doc/209000

ER -

## References

top- [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. Zbl0872.53002
- [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.

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