On the Characterizations of Convolution Manifolds Obtained by Helix Hypersurfaces

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.

Anahtar Kelimeler:

Convolution Manifold, Helix Hypersurface, Planar Curve

Helis Hiperyüzeyleri Tarafından Elde Edilen Konvolüsyon Manifoldların Karakterizasyonları Üzerine

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,

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