Abstract
This short note presents a comprehensive and pedagogical study of the results in [6] on Lagrangian submanifolds in cotangent bundles \(T^*X\) defined by Morse families \(S:B\rightarrow \mathbb {R}\) for arbitrary submersions \(B\rightarrow X\).
Dedicated to Jaime Muñoz Masqué on the occasion of his 65th birthday.
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Acknowledgments
Both authors thank the support of the project Edital 061-2011 of the program Ciências sem Fronteiras (CAPES), Brazil, as well as the Pontificia Universidade Católica do Rio de Janeiro for its hospitality in the visit during which this article was written. TSR was partially supported by NCCR SwissMAP of the Swiss National Science Foundation.
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Castrillón López, M., Ratiu, T.S. (2016). Morse Families and Lagrangian Submanifolds. In: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, M. (eds) Geometry, Algebra and Applications: From Mechanics to Cryptography. Springer Proceedings in Mathematics & Statistics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-32085-4_6
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DOI: https://doi.org/10.1007/978-3-319-32085-4_6
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