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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We use the so-called pseudoinversion of degenerate metrics technique on foliated compact null hypersurface, $M^{n+1}$, in Lorentzian manifold $\overline{M}^{n+2}$, to derive an integral formula involving the $r$-th order mean curvatures of its foliations, $\mathcal{F}^{n}$. We apply our formula to minimal foliations, showing that, under certain geometric conditions, they are isomorphic to $n$-dimensional spheres. We also use the formula to deduce expressions for total mean curvatures of such foliations.
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참고문헌 (15)
참고문헌 신청
K. Andrzejewski / 2010 / The Newton transformation and new integral for-mulae for foliated manifolds / Ann. Global Anal. Geom 37(2):103~111
C. Atindogbe / 2009 / Scalar curvature on lightlike hypersurfaces / Appl. Sci 11:9~18
C. Atindogbe / 2003 / Pseudoinversion of degenerate metrics / Int. J. Math. Math. Sci 2003(55):3479~3501
C. Atindogbe / 2015 / Newton transformations on null hypersurfaces / Commun. Math 23(1):57~83
J. L. M. Barbosa / 1991 / Foliations by hypersurfaces with con-stant mean curvature / Math. Z 207(1):97~107
C. Atindogbe / 2009 / Scalar curvature on lightlike hypersurfaces / Appl. Sci 11:9~18
C. Atindogbe / 2003 / Pseudoinversion of degenerate metrics / Int. J. Math. Math. Sci 2003(55):3479~3501
C. Atindogbe / 2015 / Newton transformations on null hypersurfaces / Commun. Math 23(1):57~83
J. L. M. Barbosa / 1991 / Foliations by hypersurfaces with con-stant mean curvature / Math. Z 207(1):97~107
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