@phdthesis{oai:sucra.repo.nii.ac.jp:00018914,
 author = {郡司, 克徳},
 month = {},
 note = {62 p., Knot energies, one of which is the Möbius energy, are constructed to measure the well-proportionedness of the knot. The best-proportioned knot in the given knot class may be determined by the gradient flow of the energy. Indeed, Blatt showed the global existence and convergence of the gradient flow of the Möbius energy near stationary points. The Łojasiewicz inequality played an important role in proving the results. The inequality can be proved by properties of L2-representation of the first and second variations. On the other hand, Ishizeki and Nagasawa showed that the Möbius energy can be decomposed into parts keeping the Möbius invariance and each part has the L2-representation of the first variation. In this thesis, we discuss the L2-representation of the second variation for each decomposed part of the Mobius energy, and derive it explicitly. As a consequence of it and Chill's theory, the Łojasiewicz inequality is derived from the representations., 指導教員 : 長澤壯之, text, application/pdf},
 school = {埼玉大学},
 title = {The L2-representations of the Second Variations and the Łojasiewicz Inequalities for Decomposed Möbius Energies},
 year = {2019},
 yomi = {グンジ, カツノリ}
}