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Hessian Geometry and Phase Change of Gibbons-Hawking Metrics [PDF]
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 and general relativity with algebraifolds [PDF]
Tobias Fritz
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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
The American mathematical monthly, 2022A 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
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Control-Oriented Models for Hyperelastic Soft Robots Through Differential Geometry of Curves.
Soft Robotics, 2022The 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
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Local differential geometry of cuspidal edge and swallowtail
, 2020We 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
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Differential Geometry in Edge Detection: Accurate Estimation of Position, Orientation and Curvature
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2019The 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
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Toward differential geometry of statistical submanifolds
Information Geometry, 2022H. Furuhata
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