Results 81 to 90 of about 91,052 (253)
Non-embeddable Real Algebraic Hypersurfaces [PDF]
We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.
arxiv +1 more source
Asymptotic behavior of Moncrief Lines in constant curvature space‐times
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti+2 more
wiley +1 more source
Let F ∈ Z [ x 0 , … , x n ] F \in \mathbb {Z}[x_0, \ldots , x_n] be homogeneous of degree d d and assume that F F is not a ‘nullform’, i.e., there is an invariant
Elsenhans, Andreas-Stephan+1 more
openaire +2 more sources
The conjugate of a hypersurface
In this study, the idea of the conjugate of a surface in E given by TH. Hasanis and D. Koutroufiotis [3] has been generalized for a hypersurface in E . A necessary and sufficient condition for having the conjugate of a hypersurface has been given. Gauss and mean curvatures of the conjugate hypersurface have also been calculated.
S. Keleş, E Kiliç
openaire +2 more sources
On the isoperimetric Riemannian Penrose inequality
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti+2 more
wiley +1 more source
Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space
In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
doaj +1 more source
Polyhedral divisors of affine trinomial hypersurfaces [PDF]
We find polyhedral divisors corresponding to the torus action of complexity one on affine trinomial hypersurfaces. Explicit computations for particular classes of such hypersurfaces including Pham-Brieskorn surfaces and rational trinomial hypersurfaces are given.
arxiv
Substitution and Electron Transfer in Diborane‐Quinone Systems
The dual reactivity of cationic triflato‐diboranes as Lewis acids and electron donors allows quinone coordination and reduction, accompanied by oxidative B−B bond cleavage, in the diborane coordination sphere. A detailed evaluation of substitution reactions in the catecholato‐diborane products discloses the importance of a catecholato coordination mode
Daniel Vogler+5 more
wiley +1 more source
Hypersurfaces in a Euclidean space with a Killing vector field
An odd-dimensional sphere admits a killing vector field, induced by the transform of the unit normal by the complex structure of the ambiant Euclidean space.
Mohammed Guediri, Sharief Deshmukh
doaj +1 more source