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Geodesics of singular Riemannian metrics
Author:
Robert Hermann
Journal:
Bull. Amer. Math. Soc. 79 (1973), 780-782
MSC (1970):
Primary 58C20
MathSciNet review:
0350779
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Additional Information
- 1.
Robert
Hermann, Differential geometry and the calculus of variations,
Mathematics in Science and Engineering, Vol. 49, Academic Press, New York,
1968. MR
0233313 (38 #1635)
- 2.
Robert
Hermann, A Poisson kernel for certain
homogeneous spaces, Proc. Amer. Math. Soc.
12 (1961),
892–899. MR 0161347
(28 #4554), http://dx.doi.org/10.1090/S0002-9939-1961-0161347-5
- 3.
R. Hermann, On the accessibility problem of control theory, Proceedings of the Symposium on differential equations, Colorado Springs, 1961, Localle and Lefschetz, (editors), Academic Press, New York.
- 4.
Robert
Hermann, The differential geometry of foliations. II, J. Math.
Mech. 11 (1962), 303–315. MR 0142131
(25 #5524)
- 5.
Robert
Hermann, Cartan connections and the equivalence problem for
geometric structures, Contributions to Differential Equations
3 (1964), 199–248. MR 0165459
(29 #2741)
- 6.
R. Hermann, Geometric methods and ideas in physics and engineering (to appear).
- 7.
I.
I. Pjateckiĭ-Šapiro, Geometriya klassicheskikh
oblastei i teoriya avtomorfnykh fuiktsii, Sovremennye Problemy
Matematiki, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0136770
(25 #231)
- 8.
Héctor
J. Sussmann, Orbits of families of vector fields
and integrability of distributions, Trans.
Amer. Math. Soc. 180 (1973), 171–188. MR 0321133
(47 #9666), http://dx.doi.org/10.1090/S0002-9947-1973-0321133-2
- 1.
- R. Hermann, Differential geometry and the calculus of variations, Mathematics in Science and Engineering, Vol. 49. Academic Press, New York, 1968. MR 38 # 1635. MR 233313
- 2.
- R. Hermann, A Poisson kernel for homogeneous spaces, Proc. Amer. Math. Soc. 12 (1961), 892-899. MR 28 # 4554. MR 161347
- 3.
- R. Hermann, On the accessibility problem of control theory, Proceedings of the Symposium on differential equations, Colorado Springs, 1961, Localle and Lefschetz, (editors), Academic Press, New York.
- 4.
- R. Hermann, The differential geometry of foliations. II, J. Math. Mech. 11 (1962), 303-315. MR 25 # 5524. MR 142131
- 5.
- R. Hermann, Cartan connections and the equivalence problem for geometric structures, Contributions to differential equations 3 (1964), 199-248. MR 29 # 2741. MR 165459
- 6.
- R. Hermann, Geometric methods and ideas in physics and engineering (to appear).
- 7.
- I. I. Pjateckiĭ-Šapiro, Geometry of classical domains and the theory of automorphic function, Fizmatgiz, Moscow, 1961. MR 25 # 231. MR 136770
- 8.
- H. Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc., 180 (1973), 171-188. MR 321133
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1973-13313-0
PII:
S 0002-9904(1973)13313-0
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