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Hessian Geometry and Phase Change of Gibbons-Hawking Metrics [PDF]

open access: yesarXiv, 2018
We study the Hessian geometry of toric Gibbons-Hawking metrics and their phase change phenomena via the images of their moment maps.
arxiv  

Differential Geometry

open access: yesNew Spaces in Mathematics, 2018
L. Komzsik
semanticscholar   +1 more source
Some of the next articles are maybe not open access.

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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

The American mathematical monthly, 2022
A reductionist and incomplete summary of Visual Differential Geometry and Forms. Tristan Needham’s goal is to give a natural and intuitive proof of Gauss’s Theorema Egregium.
C. Shonkwiler
semanticscholar   +1 more source

Control-Oriented Models for Hyperelastic Soft Robots Through Differential Geometry of Curves.

Soft Robotics, 2022
The motion complexity and use of exotic materials in soft robotics call for accurate and computationally efficient models intended for control. To reduce the gap between material and control-oriented research, we build upon the existing piece-wise ...
B. Caasenbrood   +2 more
semanticscholar   +1 more source

Local differential geometry of cuspidal edge and swallowtail

, 2020
We investigate the local differential geometric invariants of cuspidal edge and swallowtail from the view point of singularity theory. We introduce finite type invariants of such singularities (see Remark 1.5 and Theorem 2.11) based on certain normal ...
Toshizumi Fukui
semanticscholar   +1 more source

Differential Geometry in Edge Detection: Accurate Estimation of Position, Orientation and Curvature

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2019
The vast majority of edge detection literature has aimed at improving edge recall and precision, with relatively few addressing the accuracy of edge orientation estimates which are often based on gradient.
B. Kimia   +3 more
semanticscholar   +1 more source

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