BLITZ, Samuel Harris. A sharp characterization of the Willmore invariant. International Journal of Mathematics. World Scientific Publishing, 2023, vol. 34, No 9, p. 1-32. ISSN 0129-167X. Available from: https://dx.doi.org/10.1142/S0129167X23500544.
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Basic information
Original name A sharp characterization of the Willmore invariant
Authors BLITZ, Samuel Harris (840 United States of America, guarantor, belonging to the institution).
Edition International Journal of Mathematics, World Scientific Publishing, 2023, 0129-167X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Singapore
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.600 in 2022
RIV identification code RIV/00216224:14310/23:00131503
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1142/S0129167X23500544
UT WoS 001026038800002
Keywords in English Extrinsic conformal geometry; hypersurface embeddings; Willmore invariant
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Samuel Harris Blitz, M.Sc., Ph.D., učo 248076. Changed: 9/1/2024 13:41.
Abstract
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.
Links
MUNI/A/1099/2022, interní kód MUName: Specifický výzkum v odborné a učitelské matematice 2023
Investor: Masaryk University
PrintDisplayed: 16/7/2024 22:20