THE DISCRIMINANT OF THE SECOND FUNDAMENTAL FORMS UNDER CONNECTION PRESERVING MAP

Bayar, Feray; Sarioglugil, Ayhan

THE DISCRIMINANT OF THE SECOND FUNDAMENTAL FORMS UNDER CONNECTION PRESERVING MAP

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.665-672, 2017 (ESCI)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2017
Dergi Adı: JOURNAL OF SCIENCE AND ARTS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
Sayfa Sayıları: ss.665-672
Anahtar Kelimeler: Discriminant of the second fundamental form, Connection preserving map, lambda-isotropy, IMMERSIONS
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.