Helis Hiperyüzeyleri Tarafından Elde Edilen Konvolüsyon Manifoldların Karakterizasyonları Üzerine

Year 2020, Volume: 10 Issue: 3, 631 - 640, 15.07.2020

Sema Kazan

https://doi.org/10.17714/gumusfenbil.617238

Abstract

Bu
çalışmada, düzlemsel eğrilerden elde edilen iki helis hiperyüzey
immersiyonlarının tensör çarpımları tarafından elde edilen bir altmanifold
oluşturuldu. Bu altmanifoldun, konvolüsyon metrik ile birlikte bir konvolüsyon manifold
olduğu görüldü ve bu manifoldun minimalliği incelendi. Daha sonra aynı
altmanifoldun tamamen geodezikliğine bakılarak bazı karakterizasyonlar verildi.

Keywords

Konvolüsyon Manifoldu, Helis Hiperyüzeyi, Düzlemsel Eğri

On the Characterizations of Convolution Manifolds Obtained by Helix Hypersurfaces

Abstract

In this study, a submanifold obtained by tensor product of the immersions of two helix hypersurfaces obtained by planar curves is constructed. It is seen that, this submanifold is a convolution manifold with convolution metric and  its minimality is examined. After, some characterizations are given by looking at the totally geodesic of same submanifold.

Keywords

Convolution Manifold, Helix Hypersurface, Planar Curve

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