Some new characteristic properties of the A-Pedal hypersurfaces in En+1
Missouri Journal of Mathematical Sciences, cilt.24, sa.2, ss.156-166, 2012 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.35834/mjms/1352138561
- Dergi Adı: Missouri Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.156-166
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
The primary purpose of this paper is to present the definition of the a-pedal hypersurface with respect to a point in the interior of a closed, convex and smooth hypersurface M. The secondary purpose of this paper is to give some new characteristic properties of the a-pedal hypersurfaces related to the support function, Gauss curvature, mean curvature, the first and second fundamental forms and their coefficients of M (Section 3). Using the classical methods of the hypersurfaces in differential geometry we have established that the support function ha of the a-pedal hypersurface Ma is equal to ha+1/Pa where. 2012 © Central Missouri State University, Department of Mathematics and Computer Science.