On the Maslov and the Morse index for constrained variational problems. (Q1406896)
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scientific article; zbMATH DE number 1975939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Maslov and the Morse index for constrained variational problems. |
scientific article; zbMATH DE number 1975939 |
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On the Maslov and the Morse index for constrained variational problems. (English)
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7 September 2003
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An index theory is developed for symplectic differential systems. Unlike in the authors' earlier paper [Proc. Lond. Math. Soc., III. Ser. 83, 351--389 (2001; Zbl 1027.53101)], where such systems were studied in association to solutions of hyper-regular Hamiltonians, here, the case of degenerate Hamiltonians is treated via a suitable extension of the Legendre transform. Thus, a general version of the Morse index theorem for constrained variational problems is obtained.
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Maslow index
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Morse index
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symplectic differential systems
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nonholonomic mechanics
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