WebIn this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained. These inequalities are also investigated on lightlike hypersurfaces of Lorentzian statistical space forms. WebMar 28, 2024 · The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P. Piccinni extended the notion of finite type submanifolds to finite type maps of submanifolds; in particular, to submanifolds with finite type Gauss map. Since then, there …
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WebAbstract: A classical theorem of A.D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give … WebJul 25, 2024 · In higher dimensions, Li and Nirenberg [13, Theorem 1] established the symmetry of M under the following two assumptions, instead of Condition S: (1) Every line … city of paintsville ky forms
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WebMirror symmetry first came to the attention of mathematicians when Candelas-de la Ossa-Green-Parkes used it to predict counts of rational curves on the quintic three-fold (1991). Their predictions were mathematically verified by Givental (1996). Kontsevich introduced his ‘Homological Mirror Symmetry’ WebApr 20, 2010 · DOI: 10.1016/J.AIM.2011.01.006 Corpus ID: 115158022; Representations on the cohomology of hypersurfaces and mirror symmetry @article{Stapledon2010RepresentationsOT, title={Representations on the cohomology of hypersurfaces and mirror symmetry}, author={Alan Stapledon}, journal={arXiv: … WebApr 10, 2024 · It is well known that static spherically symmetric spacetimes can admit foliations by flat spacelike hypersurfaces, which are best described in terms of the Painlev\`{e}--Gullstrand coordinates. dora the explorer insulated lunch bag