The push-out space of transnormal immersions
Y. Kaya
article (Uluslararası, Hakemli) | Yazar(lar): Y. Kaya | Yıl: 2010 | Dergi/Kurum: ARCHIV DER MATHEMATIK | İndeks: WOS.SCI — Özet: Here we study the push-out space of a transnormal immersion of an m-dimensional compact manifold M without boundary into the Euclidean (m + k)-space and show that for an r-transnormal immersi
Here we study the push-out space of a transnormal immersion of an m-dimensional compact manifold M without boundary into the Euclidean (m + k)-space and show that for an r-transnormal immersion with flat normal bundle, the push-out space has at most r components and this number can be attained in some cases, and any two components are isometric to each other.