### THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLDS OF CLASS (A)

Jung, Yoon-Tae;Yoon, Mi-Ra;Choi, Eun-Hee

• 투고 : 2015.09.14
• 심사 : 2015.11.05
• 발행 : 2015.11.15
• 4 1

#### 초록

In this paper, we prove the existence and the nonexistence of warping functions on Riemannian warped product manifolds with some prescribed scalar curvatures according to the fiber manifolds of class (A).

#### 키워드

warping function;Riemannian warped product manifold;scalar curvature

#### 참고문헌

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#### 과제정보

연구 과제 주관 기관 : Chosun University