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In this work, we …rst de…ne the Hessian form of a hypersurface,then we relate it to the Second Fundamental form of the hypersurface.In the remaining part of this work, we use these formulas to show, howto evaluate the local and restricted extreme values of the hypersurfaceaccording to a given hyperplane


Hypersurface, gradient, covariant derivative, Hessianform, second fundamental form, extremum

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DOI: http://dx.doi.org/10.17776/csj.47068


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