Some Curvature Characterizations for Hessian Manifolds with Constant Hessian Sectional Curvature

Year 2017, Volume: 7 Issue: 1, 259 - 265, 31.03.2017

Münevver Yıldırım Yılmaz

Abstract

Let N be a compact hypersurface in the Hessian manifold . We frstly introduce
Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which
are new for Hessian manifolds with constant Hessian sectional curvature

Keywords

Hessian manifold , sectional curvature , second fundamental form

Sabit Hessian Kesit Eğrilikli Hessian Manifoldları için Bazı Eğrilik Karakterizasyonları

Abstract

N , Hessian manifoldunun kompakt bir hiperyüzeyi olsun. Önce Hessian manifold konsepti
hakkında bilgi vereceğiz sonra ikinci temel tensörü kullanarak sabit Hessian kesit eğrilikli Hessian manifoldları
için bazı eğrilik karakterizasyonaları elde edeceğiz

Keywords

Hessian manifoldu , kesit eğriliği , ikinci temel form.

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