GEOMETRIC APPLICATIONS AND KINEMATICS OF UMBRELLA MATRICES

Çarboğa M., YAYLI Y.

Korean Journal of Mathematics, cilt.31, sa.3, ss.295-303, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.11568/kjm.2023.31.3.295
  • Dergi Adı: Korean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.295-303
  • Anahtar Kelimeler: Darboux matrix, Infinitesimal motion, Orthogonal matrix, Umbrella matrix
  • Ankara Üniversitesi Adresli: Evet

Özet

This paper introduces a novel method for obtaining umbrella matri-ces, which are defined as orthogonal matrices with row sums of one, using skew-symmetric matrices and Cayley’s Formula. This method is presented for the first time in this paper. We also investigate the kinematic properties and applications of umbrella matrices, demonstrating their usefulness as a tool in geometry and kine-matics. Our findings provide new insights into the connections between matrix theory and geometric applications.