Yasemin SOYLU

Finsler Manifoldlar Üzerinde Ağırlıklı Ricci Eğriliği İçin Bir Genişleme Teoremi

(M,F) tam ve bağlantılı n≥2 boyutlu bir Finsler manifold olsun. Bu çalışmada aşağıdan sınırlı R??? ağırlıklı Ricci eğriliği yardımıyla Wan’ın Riemann manifoldlarında elde ettiği genişleme teoremi Finsler manifoldlara genişletilmiştir. Teoremin ispatı Finsler manifoldlar üzerindeki Laplasyan karşılaştırma teoremi ve excess fonksiyonu kullanılarak elde edilmiştir.

An Extension Theorem for Weighted Ricci Curvature on Finsler Manifolds

Let (?,?) be a forward complete and connected Finsler manifold of dimensional ?≥2. In this study, we extend Wan’s extension theorem in Riemannian manifolds to Finsler manifolds by using the weighted Ricci curvature R??? bounded below. The proof of theorem is obtained by the Laplacian comparison theorem on Finsler manifolds and the excess function.

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