THE DISCRIMINANT OF THE SECOND FUNDAMENTAL FORMS UNDER CONNECTION PRESERVING MAP
JOURNAL OF SCIENCE AND ARTS, no.4, pp.665-672, 2017 (ESCI)
- 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.