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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 177 - 183 (7page)
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The object of the present paper is to study the critical point equation (CP E) on 3-dimensional α-cosymplectic manifolds. We prove that if a 3-dimensional connected α- cosymplectic manifold satisfies the Miao-Tam critical point equation, then the manifold is of constant sectional curvature −α ^2 , provided Dλ 6= (ξλ)ξ. We also give several interesting corollaries of the main result.
목차
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참고문헌 (8)
참고문헌 신청
I. K. Erken / 2019 / On a classification of almost α-cosymplectic manifolds / Khayyam J. Math 5:1~10
S. Hwang / 2000 / Critical points of the total scalar curvature functionals on the space of metrics of constant scalar curvature / Manuscripta Math 103:135~142
T. W. Kim / 2005 / Canonical foliations of certain classes of almost contact metric structures / Acta Math. Sin. (Engl. Ser. ) 21(4):841~846
P. Miao / 2009 / On the volume functional of compact manifolds with boundary with constant scalar curvature / Calc. Var. Partial Differ. Equ 36:141~171
H. Ozturk / Almost α-cosymplectic (k, µ, v)-spaces / arXiv:1007.0527 [math. DG]
S. Hwang / 2000 / Critical points of the total scalar curvature functionals on the space of metrics of constant scalar curvature / Manuscripta Math 103:135~142
T. W. Kim / 2005 / Canonical foliations of certain classes of almost contact metric structures / Acta Math. Sin. (Engl. Ser. ) 21(4):841~846
P. Miao / 2009 / On the volume functional of compact manifolds with boundary with constant scalar curvature / Calc. Var. Partial Differ. Equ 36:141~171
H. Ozturk / Almost α-cosymplectic (k, µ, v)-spaces / arXiv:1007.0527 [math. DG]
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