On the hypersurfaces contained in their Hessian

Pietro De Poi; Giovanna Ilardi

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On the hypersurfaces contained in their Hessian

机译：在其粗麻布中包含的超曲面上

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This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.

机译：本文介绍了聚焦轨迹理论，该原理适用于投影空间中的超曲面，曲面（有限）由线性空间覆盖，并且切线空间沿这些空间恒定。

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《Annales Academiae Paedagogicae Cracoviensis. Studia Mathematica》 |2019年第1期|共13页
作者
Pietro De Poi; Giovanna Ilardi;
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正文语种
中图分类教育;
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Keywords and phrases: Hessianh-parabolic pointsfocal points;

机译：关键字和短语：Hessianh-抛物线焦点;

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1. On the hypersurfaces contained in their Hessian [J] . Pietro De Poi, Giovanna Ilardi Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica . 2019,第1期

机译：在其粗麻布中包含的超曲面上
2. On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature | Science Publications [J] . M Yildirim, Mehmet Bektas, Mihriban K Journal of Mathematics and Statistics . 2005,第2期

机译：恒定Hessian截面曲率的Hessian流形的超曲面科学出版物
3. Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian [J] . Ciliberto C, Russo F, Simis A Advances in Mathematics . 2008,第6期

机译：Homaloidal Hypsurfaces和Sypersurfaces与消失的Hessian
4. Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [C] . Aliya Naaz Siddiqui, Kamran Ahmad, Cenap Özel International conference on geometric science of information . 2019

机译：常黑森曲率的黑森流形中统计子流形的不等式
5. Development of a Hessian-Free Algorithm for Transition State Searches, Application to Reactions of Light Alkanes in Zeolite Catalysts, and Extension to Wavefunction Stability Analysis in the Absence of Analytical Hessians [D] . Sharada, Shaama Mallikarjun. 2015

机译：发育Hessian算法的过渡状态搜索，在沸石催化剂中的光烷烃的反应中的应用，以及在没有分析性Hessians的情况下延伸到波段稳定性分析
6. Real Hypersurfaces Contained in Abelian Varieties [O] . S. Lefschetz 1919

机译：阿贝尔变种中包含的实际超曲面
7. On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature [O] . Mehmet Bektas, Münevver Yildirim, Mihriban Külahci 2005

机译：具有恒定Hessian截面曲率的Hessian流形的超曲面

On the hypersurfaces contained in their Hessian

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