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Eigenvalue Estimates in Terms of the Extrinsic Curvature

Eker, Serhan; Degirmenci, Nedim


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        "affiliation": "Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey", 
        "name": "Eker, Serhan"
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        "affiliation": "Eskisehir Tech Univ, Dept Math, Eskisehir, Turkey", 
        "name": "Degirmenci, Nedim"
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    "description": "In this paper, we give a new lower bound for the eigenvalues of the Dirac operator defined on the Spin Riemannian hypersurface manifold endowed with 2-tensor, in terms of the Energy-Momentum tensor, scalar curvature and extrinsic curvature. Then this estimate is improved in two different ways by considering the conformal invariance of the Dirac operator. The first is given in term of the first eigenvalue of the Yamabe operator. The latter, is given in terms of the the area of a topological 2-sphere.", 
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