Results 21 to 30 of about 5,063,462 (161)

What is the total Betti number of a random real hypersurface?

, 2012
International audienceWe bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold.
Welschinger, Jean-Yves, Gayet, Damien
core   +1 more source

A Class of Special Hypersurfaces in Real Space Forms

Journal of Function Spaces, 2016
We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
doaj   +1 more source

Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

AUT Journal of Mathematics and Computing
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
doaj   +1 more source

Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering

Physical Review X, 2021
We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator.
Ze-Guo Chen, Weiwei Zhu, Yang Tan, Licheng Wang, Guancong Ma   +4 more
doaj   +1 more source

RHM-δ-GLMB Tracking Algorithm on the Focal Plane for UAV Cluster Targets

IEEE Access, 2023
This paper offers a new tracking algorithm for clustered targets of focal plane unmanned aerial vehicles (UAVs) by integrating the random hypersurface model (RHM) model into the $\delta $ -generalized label multi-Bernoulli ( $\delta $ -GLMB) filter to ...
Yijin Wang, Chuangming Tong, Jiahao Xie
doaj   +1 more source

On the transformation group of a real hypersurface

, 1977
The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the ...
S. M. Webster
core   +1 more source

The Hypersurface Case [PDF]

, 1996
The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo can be applied to a case of real polynomial equation solving.
Heintz, Joos, Mandel, R., Mbakop, G. M., Giusti, Marc, Bank, Bernd   +4 more
core   +1 more source

In–out propagator in de Sitter space from general boundary quantum field theory

Physics Letters B, 2015
The general boundary formulation of quantum theory is applied to quantize a real massive scalar field in de Sitter space. The space–time region where the dynamics of the field takes place is bounded by one spacelike hypersurface of constant conformal de ...
Daniele Colosi
doaj   +1 more source

Transversal Jacobi Operators in Almost Contact Manifolds

Mathematics, 2020
Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
doaj   +1 more source

Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma models

Frontiers in Physics, 2013
We conjecture that a non-flat D-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4, has locally length minimizing closed geodesics, and that the number of these with length less than L grows ...
Peng eGao, Michael R. Douglas
doaj   +1 more source