TY  - BOOK
AU  - Pinkall,Ulrich
AU  - Gross,Oliver
ED  - SpringerLink (Online service)
TI  - Differential Geometry: From Elastic Curves to Willmore Surfaces 
T2  - Compact Textbooks in Mathematics,
SN  - 9783031398384
AV  - QA641-670 
U1  - 516.36 23
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Geometry, Differential
KW  - Differential Geometry
N1  - Open Access
N2  - This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional. Moreover, emphasis is given on topics that are useful for applications in science and computer graphics. Most often these applications are concerned with finding the shape of a curve or a surface that minimizes physically meaningful energy. Manifolds are not introduced as such, but the presented approach provides preparation and motivation for a follow-up course on manifolds, and topics like the Gauss-Bonnet theorem for compact surfaces are covered
UR  - https://doi.org/10.1007/978-3-031-39838-4
ER  -