Mahmut ERGÜT, Mehmet BEKTAŞ, Handan BALGETİR

Compact space-like submanifolds of an indefinite space form

ISSN: 1300-2708
Yayın Aralığı: Yılda 4 Sayı
Yayıncı: FIRAT ÜNİVERSİTESİ

Bai [1] de sabit Riemann eğrilikli manifoldların kompakt minimal altmanifoldları için bir integral eşitsizliği verdi. Daha sonra Cao [2] de pseudo-umbilik alt manifoldlar için Bai'nin sonucunu ispatladı. Bu makalede Bai ve Cao'nun sonuçlarını indefinite uzay formuna genişlettik ve bu teoremlere benzer sonuçlar elde ettik.

Bir indefinite uzay formunda kompakt space-like alt manifoldlar

Bai[l] gave an intrinsic integral inequality for compact minimal submanifolds of constant curvature Riemannian manifolds. More recently, Cao [2] proved Bai's result to the case of Pseudo-Umbilical submanifolds. In this paper , we extended Bai and Cao theorem's to the indefinite space form and obtained some results similar to Bai and Cao theorem's.

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