Results 81 to 90 of about 85,527 (236)
Lorentzian isoparametric hypersurfaces [PDF]
Pacific Journal of Mathematics, 1985 A Lorentzian hypersurface will be called isoparametric if the minimal polynomial of the shape operator is constant. This allows for complex or non-simple principal curvatures (eigenvalues of the shape operator). This paper locally classifies isoparametric hypersurfaces in Lorentz space.
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M\"obius and Laguerre geometry of Dupin Hypersurfaces
, 2015 In this paper we show that a Dupin hypersurface with constant M\"{o}bius curvatures is M\"{o}bius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isoparametric hypersurface in a sphere.
Li, Tongzhu, Qing, Jie, Wang, Changping
core
Construction of the field of Norden — Timofeev planes of hypersurfacese quipped with distributions
Дифференциальная геометрия многообразий фигур, 2018 In the projective space the research of a hypersurface with three strongest mutual subbundles continues. The field of the invariant Norden — Timofeev planes is constructed that is internally attached to the hypersurface.
N. Eliseeva
doaj
Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere
The Scientific World Journal, 2014 For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
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Surface and form in contemporary architecture / Paviršius ir forma šiuolaikinėje architektūroje
Mokslas: Lietuvos Ateitis, 2012 Architectural form in contemporary architecture gains more and more independence and visual difference from the tectonic structure of the building. Many researchers of contemporary architecture separate a building’s “skin” from its carcass.
Algimantas M. Mačiulis
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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Canal Hypersurfaces Generated by Non-Null Curves in Lorentz-Minkowski 4-Space [PDF]
, 2022 Ahmet Kazan +2 more
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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Compact homogeneous hypersurfaces [PDF]
Transactions of the American Mathematical Society, 1958 By "homogeneous" we mean that the group I(M) of isometries of M is transitive on M. By "imbedding" we mean a locally one-to-one mapping of M into Rn+l of class C2. The outline of the proof is as follows. (1) Since M is compact, there exists a point of M in a neighborhood of which M is locally convex. (2) This neighborhood is rigid if n > 3.
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Lietuvos Matematikos Rinkinys, 2010 In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
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