About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Symeonidis, Eleutherius
Harmonic deformability of planar curves. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 2, pp. 159-167
MSC: 31A05, 31A10, 31A35 | MR 4303575 | Zbl 07396216 | DOI: 10.14712/1213-7243.2021.016
Keywords:
harmonic function; harmonic deformation; harmonic family; curve; mean value property
Summary:
We study the formerly established concept of deformation of a planar curve and clarify its applicability and range. We present several applications on classical curves.
References:
[1] Khavinson D., Lundberg E.: Linear Holomorphic Partial Differential Equations and Classical Potential Theory. Mathematical Surveys and Monographs, 232, American Mathematical Society, Providence, 2018. MR 3821527
[2] Symeonidis E.: Harmonic deformation of planar curves. Int. J. Math. Math. Sci. 2011 (2011), Art. ID 141209, 10 pages. MR 2771222
[3] Symeonidis E.: Harmonic families of planar curves. Potential Theory and Its Related Fields, RIMS Kôkyûroku Bessatsu, B43, Res. Inst. Math. Sci. (RIMS), Kyoto, 2013, pages 171–181. MR 3220459
Partner of
EuDML logo