THE DISCRIMINANT OF THE SECOND FUNDAMENTAL FORMS UNDER CONNECTION PRESERVING MAP

Bayar F., Sarioglugil A.

JOURNAL OF SCIENCE AND ARTS, no.4, pp.665-672, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.665-672
  • Keywords: Discriminant of the second fundamental form, Connection preserving map, lambda-isotropy, IMMERSIONS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let : f : E-n -> E-n be an isometric immersion provided f(M) = (M) over bar where M and (M) over bar are (n -1)-dimensional Riemannian manifolds. We study the discriminant of the second fundamental forms and also being lambda - isotropic of the Riemannian manifolds if f is a connection preserving map.