Displaying similar documents to “Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.”

Ito equation as a geodesic flow on Diff s ( S 1 ) ⨀ C ∞ ( S 1 ) ^

Partha Guha (2000)

Archivum Mathematicum

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The Ito equation is shown to be a geodesic flow of L 2 metric on the semidirect product space 𝐷𝑖𝑓𝑓 s ( S 1 ) ⨀ C ∞ ( S 1 ) ^ , where 𝐷𝑖𝑓𝑓 s ( S 1 ) is the group of orientation preserving Sobolev H s diffeomorphisms of the circle. We also study a geodesic flow of a H 1 metric.

Integrability and the Integral of Partial Functions from R into R 1

Noboru Endou, Yasunari Shidama, Masahiko Yamazaki (2006)

Formalized Mathematics

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In this paper, we showed the linearity of the indefinite integral [...] the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.