In this article we study almost contact manifolds admitting weakly Einstein metrics. We first prove that if a (2n + 1)-dimensional Sasakian manifold admits a weakly Einstein metric, then its scalar curvature s satisfies -6 ⩽ s ⩽ 6 for n ...
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https://www.riss.kr/link?id=A106825992
2020
English
SCIE,SCOPUS,KCI등재
학술저널
707-719(13쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this article we study almost contact manifolds admitting weakly Einstein metrics. We first prove that if a (2n + 1)-dimensional Sasakian manifold admits a weakly Einstein metric, then its scalar curvature s satisfies -6 ⩽ s ⩽ 6 for n ...
In this article we study almost contact manifolds admitting weakly Einstein metrics. We first prove that if a (2n + 1)-dimensional Sasakian manifold admits a weakly Einstein metric, then its scalar curvature s satisfies -6 ⩽ s ⩽ 6 for n = 1 and -2n(2n + 1) ${\frac{4n^2-4n+3}{4n^2-4n-1}}$ ⩽ s ⩽ 2n(2n + 1) for n ⩾ 2. Secondly, for a (2n + 1)-dimensional weakly Einstein contact metric (κ, μ)-manifold with κ < 1, we prove that it is flat or is locally isomorphic to the Lie group SU(2), SL(2), or E(1, 1) for n = 1 and that for n ⩾ 2 there are no weakly Einstein metrics on contact metric (κ, μ)-manifolds with 0 < κ < 1. For κ < 0, we get a classification of weakly Einstein contact metric (κ, μ)-manifolds. Finally, it is proved that a weakly Einstein almost cosymplectic (κ, μ)-manifold with κ < 0 is locally isomorphic to a solvable non-nilpotent Lie group.
참고문헌 (Reference)
1 Seungsu Hwang, "Weakly Einstein critical point equation" 대한수학회 53 (53): 1087-1094, 2016
2 H. Baltazar, "Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary"
3 T. Koufogiorgos, "The harmonicity of the Reeb vector eld on contact metric 3-manifolds" 234 (234): 325-344, 2008
4 D. E. Blair, "Riemannian geometry of contact and symplectic manifolds" Birkhauser Boston, Inc 203 : 2010
5 M. Berger, "Quelques formules de variation pour une structure riemannienne" 3 : 285-294, 1970
6 T. Koufogiorgos, "On the existence of a new class of contact metric manifolds" 43 (43): 440-447, 2000
7 P. Dacko, "On almost cosymplectic manifolds with the structure vector eld belonging to the k-nullity distribution" 5 (5): 47-60, 2000
8 H. Endo, "On Ricci curvatures of almost cosymplectic manifolds" 40 (40): 75-83, 1994
9 H. Endo, "Non-existence of almost cosymplectic manifolds satisfying a certain condition" 63 (63): 272-284, 2002
10 D. E. Blair, "Contact metric manifolds satisfying a nullity condition" 91 (91): 189-214, 1995
1 Seungsu Hwang, "Weakly Einstein critical point equation" 대한수학회 53 (53): 1087-1094, 2016
2 H. Baltazar, "Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary"
3 T. Koufogiorgos, "The harmonicity of the Reeb vector eld on contact metric 3-manifolds" 234 (234): 325-344, 2008
4 D. E. Blair, "Riemannian geometry of contact and symplectic manifolds" Birkhauser Boston, Inc 203 : 2010
5 M. Berger, "Quelques formules de variation pour une structure riemannienne" 3 : 285-294, 1970
6 T. Koufogiorgos, "On the existence of a new class of contact metric manifolds" 43 (43): 440-447, 2000
7 P. Dacko, "On almost cosymplectic manifolds with the structure vector eld belonging to the k-nullity distribution" 5 (5): 47-60, 2000
8 H. Endo, "On Ricci curvatures of almost cosymplectic manifolds" 40 (40): 75-83, 1994
9 H. Endo, "Non-existence of almost cosymplectic manifolds satisfying a certain condition" 63 (63): 272-284, 2002
10 D. E. Blair, "Contact metric manifolds satisfying a nullity condition" 91 (91): 189-214, 1995
11 A. Carriazo, "Almost cosymplectic and almost Kenmotsu(; ;)-spaces" 10 (10): 1551-1571, 2013
12 B. Cappelletti-Montano, "A survey on cosymplectic geom-etry" 25 (25): 55-, 2013
13 E. Boeckx, "A full classication of contact metric(k;)-spaces" 44 (44): 212-219, 2000
14 Y. Euh, "A curvature identity on a 4-dimensional Riemann-ian manifold" 63 (63): 107-114, 2013
ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS
THE JACOBI SUMS OVER GALOIS RINGS AND ITS ABSOLUTE VALUES
CONSTRUCTION OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS: O+(2n, 2r) CASE
WEIGHTED HARDY INEQUALITIES WITH SHARP CONSTANTS
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.4 | 0.14 | 0.3 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.19 | 0.375 | 0.03 |