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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 163 - 174 (12page)
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The object of this paper is to classify paracontact metric (k; μ )-spaces satisfying certain curvature conditions. We show that a paracontact metric (k; μ )-space is Ricc emisymmetric if and only if the metric is Einstein, provided k < -1. Also we prove that a paracontact metric (k;μ )-space is -Ricci symmetric if and only if the metric is Einstein, provided k = /0, -1. Moreover, we show that in a paracontact metric (k;μ )-space with k < -1, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. Several consequences of these results are discussed.
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참고문헌 (22)
참고문헌 신청
D. V. Alekseevski / 2009 / Cones over pseudo-Riemannian manifolds and their holonomy / J. Reine Angew. Math 635:23~69
D. V. Alekseevski / 2006 / Maximally homogeneous para-CR manifolds / Ann. Global Anal. Geom 30:1~27
D. E. Blair / 1995 / Contact metric manifolds satisfying a nullity condition / Israel J. Math 91:189~214
G. Calvaruso / 2011 / Homogeneous paracontact metric three-manifolds / Illinois J. Math 55:697~718
B. Cappelletti-Montano / 2012 / Nullity conditions in paracontact geometry / Differential Geom. Appl 30:665~693
D. V. Alekseevski / 2006 / Maximally homogeneous para-CR manifolds / Ann. Global Anal. Geom 30:1~27
D. E. Blair / 1995 / Contact metric manifolds satisfying a nullity condition / Israel J. Math 91:189~214
G. Calvaruso / 2011 / Homogeneous paracontact metric three-manifolds / Illinois J. Math 55:697~718
B. Cappelletti-Montano / 2012 / Nullity conditions in paracontact geometry / Differential Geom. Appl 30:665~693
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