Some Eigenvalues Estimate for the
ϕ
-Laplace Operator on Slant Submanifolds of Sasakian Space Forms
Keyword(s):
This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ -Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the ϕ -Laplacian operator on closed oriented m -dimensional slant submanifolds in a Sasakian space form M ~ 2 k + 1 ε is estimated in various ways. Several Reilly-like inequalities are generalized from our findings for Laplacian to the ϕ -Laplacian on slant submanifold in a sphere S 2 n + 1 with ε = 1 and ϕ = 2 .
2003 ◽
Vol 68
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pp. 275-283
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2019 ◽
pp. 2050157
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1987 ◽
Vol 105
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pp. 17-22
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1998 ◽
Vol 65
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pp. 120-128
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2019 ◽
Vol 17
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pp. 2050005
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