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- First_variation_of_area_formula abstract "In Riemannian geometry, the first variation of area formula relates the mean curvature of a hypersurface to the rate of change of its area as it evolves in the outward normal direction. Let be a smooth family of oriented hypersurfaces in a Riemannian manifold M such that the velocity of each point is given by the outward unit normal at that point. The first variation of area formula iswhere dA is the area form on induced by the metric of M, and H is the mean curvature of . The normal vector is parallel to where is the tangent vector. The mean curvature is parallel to the normal vector.".
- First_variation_of_area_formula wikiPageID "16827510".
- First_variation_of_area_formula wikiPageRevisionID "423049187".
- First_variation_of_area_formula hasPhotoCollection First_variation_of_area_formula.
- First_variation_of_area_formula subject Category:Riemannian_geometry.
- First_variation_of_area_formula comment "In Riemannian geometry, the first variation of area formula relates the mean curvature of a hypersurface to the rate of change of its area as it evolves in the outward normal direction. Let be a smooth family of oriented hypersurfaces in a Riemannian manifold M such that the velocity of each point is given by the outward unit normal at that point. The first variation of area formula iswhere dA is the area form on induced by the metric of M, and H is the mean curvature of .".
- First_variation_of_area_formula label "First variation of area formula".
- First_variation_of_area_formula sameAs m.0407mjn.
- First_variation_of_area_formula sameAs Q5454260.
- First_variation_of_area_formula sameAs Q5454260.
- First_variation_of_area_formula wasDerivedFrom First_variation_of_area_formula?oldid=423049187.
- First_variation_of_area_formula isPrimaryTopicOf First_variation_of_area_formula.