On the Maslov and the Morse index for constrained variational problems.
type: Item
instance of: scholarly article
title: On the Maslov and the Morse index for constrained variational problems.
zbMATH Open document ID: 1038.37050
DOI: 10.1016/S0021-7824(01)01225-9
author: Paolo Piccione
author: Daniel V. Tausk
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2003-09-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 53D12
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 1975939
zbMATH Keywords: Maslow index
zbMATH Keywords: Morse index
zbMATH Keywords: symplectic differential systems
zbMATH Keywords: nonholonomic mechanics
reviewed by: Jan Andres
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1975939