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A curvature-like tensor field on a Sasakian manifold
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Abstract
We investigate a curvature-like tensor defined by (3.1) in Sasakian manifold of dimension$\geq 5$, and show that this tensor satisfies some properties. Especially, we determine compact Sasakian manifolds with vanishing this tensor and improve some theorems concerning contact conformal curvature tensor and spectrum of Laplacian acting on $p(0\leq p\leq 2)$-forms on the manifold by using this tensor component.
참고문헌 (10)
- \vol 68 \yr 1958 \page 721--734\endref, "\ref \key 2\by W. M. Boothby and H. C. Wang \paper On contactmanifolds \jour Ann. of Math"
- \ref \key 3\by S. Funabashi, "and J. S. Pak\paper Traceless component of the conformal curvature tensor inK\"
- \ref \key 4 \by J. C. Jeong, "and J. S. Pak\paper On the contact conformal curvature tensor \jour Bull.Korean Math. Soc. \vol 27 \yr 1990 \page no. 2", pp.133~
- \ref \key 5 \by M. Matsumoto, "u}$man \paper On theC-Bochner curvature tensor \jour TRU Math. \vol 5 \yr 1969 \page21--30\endref"
- "\ref \key 6 \by K. Ogiue \paper On almost contact manifoldsadmitting axiom of planes or axioms of free mobility \jour KodaiMath. Sem. Rep \vol 16 \yr 1964 \page 223--232\endref"
- "\ref \key 8 \by V. K. Patodi \paper Curvature and the fundamentalsolution of the heat operator \jour J. Indian Math. Soc. \vol 34\yr 1970 \page no. 3-4", pp.269~
- \vol 21 \yr 1969 \page 501--507\endref, "\ref \key 10 \by S. Tanno \paper Sasakian manifolds with constant$\phi$-holomorphic sectional curvature \jour T\^ohoku Math. J."
- "\ref \key 11 \bysame \paper Eigenvalues of the Laplacian ofRiemannian manifolds \jour T\^ohoku Math. J. \vol 25 \yr 1973\page 391--403\endref"
- \ref \key 12 \by Gr. Tsagas \paper On the spectrum of the Laplaceoperator for the exterior 2-forms \jour Tensor, "\vol 33 \yr1979 \page no. 1", 94--96\endref
- "\ref \key 13 \by S. Yamaguchi and G. Chuman \paper Eigenvalues ofthe Laplacian of Sasakian manifolds \jour TRU Math. \vol 15 \yr1979 \page no. 2", pp.31~
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