Curvature of an infinity-dimensional manifold related to Hill's equation

DOI10.4310/JDG/1214437485zbMath0481.58013OpenAlexW1589600390WikidataQ115188040 ScholiaQ115188040MaRDI QIDQ1162292

H. P. jun. McKean

Publication date: 1982

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214437485

zbMATH Keywords

sectional curvaturesprincipal curvaturestotal curvatureclass of periodic functions such that the corresponding Hill's operator has lowest eigenvalue 0convex surface of co-dimension 1 in the space of all smooth periodic functions

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Manifolds of mappings (58D15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

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