Symplectic-prequantum structures and dynamics on the codimension-2 shape space
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2025-10-31
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Abstract
The space of codimension-2 shapes, such as curves in 3D and surfaces in 4D, is an infinite-dimensional manifold. This thesis explores geometric structures and dynamics on this space, with emphasis on their implications for physics, particularly hydrodynamics. Our investigation ranges from theoretical studies of infinite-dimensional symplectic and prequantum geometry to numerical computation of the time evolution of shapes.
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@inproceedings{10.2312:diss.20253607299,
booktitle = {EG Graphics Dissertation Online},
editor = {},
title = {{Symplectic-prequantum structures and dynamics on the codimension-2 shape space}},
author = {Sadashige Ishida},
year = {2025-10-31},
publisher = {},
ISBN = {978-3-99078-070-1},
DOI = {10.2312/diss.20253607299}
}