Detailed Information on Publication Record
2023
A sharp characterization of the Willmore invariant
BLITZ, Samuel HarrisBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Singapore
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.600 in 2022
RIV identification code
RIV/00216224:14310/23:00131503
Organization unit
Faculty of Science
UT WoS
001026038800002
Keywords in English
Extrinsic conformal geometry; hypersurface embeddings; Willmore invariant
Tags
Tags
International impact, Reviewed
Změněno: 9/1/2024 13:41, Samuel Harris Blitz, M.Sc., Ph.D.
Abstract
V originále
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 MU |
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