An introduction to infinite-dimensional differential geometry /
Schmeding, A.
An introduction to infinite-dimensional differential geometry / Alexander Schmeding - Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023 - online resource - Cambridge studies in advanced mathematics ; 202 . - Cambridge studies in advanced mathematics ; 202 .
1. Calculus in Locally Convex Spaces -- 2. Spaces and Manifolds of Smooth Maps -- 3. Lifting Geometry to Mapping Spaces I : Lie Groups -- 4. Lifting Geometry to Mapping Spaces II : (Weak) Riemannian Metrics -- 5. Weak Riemannian Metrics with Applications in Shape Analysis --
6 - Connecting Finite-Dimensional, Infinite-Dimensional and Higher Geometry -- 7. Euler–Arnold Theory: PDEs via Geometry -- 8.The Geometry of Rough Paths
9781009091251
INFINITE-DIMENSIONAL MANIFOLDS
GEOMETRY, DIFFERENTIAL
QA 613.6 / S35A 2023
An introduction to infinite-dimensional differential geometry / Alexander Schmeding - Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023 - online resource - Cambridge studies in advanced mathematics ; 202 . - Cambridge studies in advanced mathematics ; 202 .
1. Calculus in Locally Convex Spaces -- 2. Spaces and Manifolds of Smooth Maps -- 3. Lifting Geometry to Mapping Spaces I : Lie Groups -- 4. Lifting Geometry to Mapping Spaces II : (Weak) Riemannian Metrics -- 5. Weak Riemannian Metrics with Applications in Shape Analysis --
6 - Connecting Finite-Dimensional, Infinite-Dimensional and Higher Geometry -- 7. Euler–Arnold Theory: PDEs via Geometry -- 8.The Geometry of Rough Paths
9781009091251
INFINITE-DIMENSIONAL MANIFOLDS
GEOMETRY, DIFFERENTIAL
QA 613.6 / S35A 2023