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@article{2304043, author = {Blitz, Samuel Harris}, article_number = {9}, doi = {http://dx.doi.org/10.1142/S0129167X23500544}, keywords = {Extrinsic conformal geometry; hypersurface embeddings; Willmore invariant}, language = {eng}, issn = {0129-167X}, journal = {International Journal of Mathematics}, title = {A sharp characterization of the Willmore invariant}, url = {https://doi.org/10.1142/S0129167X23500544}, volume = {34}, year = {2023} }
TY - JOUR ID - 2304043 AU - Blitz, Samuel Harris PY - 2023 TI - A sharp characterization of the Willmore invariant JF - International Journal of Mathematics VL - 34 IS - 9 SP - 1-32 EP - 1-32 PB - World Scientific Publishing SN - 0129167X KW - Extrinsic conformal geometry KW - hypersurface embeddings KW - Willmore invariant UR - https://doi.org/10.1142/S0129167X23500544 N2 - First introduced to describe surfaces embedded in R3, the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the surface minimizes bending and stretching. Both this invariant and its higher-dimensional analogs appear frequently in the study of conformal geometric systems. To that end, we provide a characterization of the Willmore invariant in general dimensions. In particular, we provide a sharp sufficient condition for the vanishing of the Willmore invariant and show that in even dimensions it can be described fully using conformal fundamental forms and one additional tensor. ER -
BLITZ, Samuel Harris. A sharp characterization of the Willmore invariant. \textit{International Journal of Mathematics}. World Scientific Publishing, 2023, roč.~34, č.~9, s.~1-32. ISSN~0129-167X. Dostupné z: https://dx.doi.org/10.1142/S0129167X23500544.
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