Einstein warped product manifolds with 3−dimensional fiber manifolds

• 영문명: Einstein warped product manifolds with 3−dimensional fiber manifolds
• 발행기관: 충청수학회
• 저자명: 정윤태(Yoon-Tae Jung)
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 35, No. 3, 235~242쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2022.08.31

영문 초록

In this paper, we consider the existence of nonconstant warping functions on a warped product manifold M = B ×f 2 F , where B is a q(> 2)−dimensional base manifold with a nonconstant scalar curvature SB (x) and F is a 3− dimensional fiber Einstein manifold and discuss that the resulting warped product manifold is an Einstein manifold, using the existence of the solution of some partial differential equation.

목차

1. Introduction

2. Main results

References

키워드

Warping function Warped product manifold Einstein manifold Partial differential equation Calculus of variation