Results 91 to 100 of about 91,052 (253)

On hypersurfaces in a locally affine Riemannian Banach manifold II

International Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

Minimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space [PDF]

Geom. Dedicata 118 (2006) 157-171., 2005
We study the constant mean curvature (CMC) hypersurfaces in hyperbolic space whose asymptotic boundaries are closed codimension-1 submanifolds in sphere at infinity. We consider CMC hypersurfaces as generalizations of minimal hypersurfaces. We naturally generalize some notions of minimal hypersurfaces like being area minimizing, convex hull property ...
arxiv  

Multiscale Differential Geometry Learning for Protein Flexibility Analysis

Journal of Computational Chemistry, Volume 46, Issue 7, March 15, 2025.
Protein structure fluctuations, as measured by B‐factors, are closely linked to protein flexibility and function. Predicting B‐factors is an important research topic that has led to the development of various predictive models. Atomic interactions within proteins can be described using a family of low‐dimensional manifolds.
Hongsong Feng, Jeffrey Y. Zhao, Guo‐Wei Wei   +2 more
wiley   +1 more source

$L_r$-biharmonic hypersurfaces in $\mathbb{E}^4$

Boletim da Sociedade Paranaense de Matemática, 2019
A hypersurface $x : M^n\rightarrow\mathbb{E}^{n+1}$ is said to be biharmonic if $\Delta^2x=0$, where $\Delta$ is the Laplace operator of $M^n$. Based on a well-known conjecture of Bang-Yen Chen, the only biharmonic hypersurfaces in $E^{n+1}$ are the ...
Akram Mohammadpouri, Firooz Pashaei
doaj   +1 more source

On the problem of isometry of a hypersurface preserving mean curvature [PDF]

arXiv, 2007
The problem of determining the {\it Bonnet hypersurfaces in} $R^{n+1}$, for $n>1$, is studied here. These hypersurfaces are by definition those that can be isometrically mapped to another hypersurface or to itself (as locus) by at least one nontrivial isometry preserving the mean curvature. The other hypersurface and/or (the locus of) itself is called {
arxiv  

On the Minimal Hypersurfaces

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983
In this paper the Euler’s theorem and some corollaries for minimal hypersurfaces are ob- tained. Moreover characterizations for asymptotic curves on the minimal hypersurfaces and surfaces are given. On the other hand a theorem, on the conjugate minimal surfaces, is also gi­ ven.
B. Karliğa, Hilmi H. Hacisalihoğlu
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold

Anais da Academia Brasileira de Ciências, 2002
In this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.Neste trabalho nós generalizamos e estendemos para uma variedade Riemanniana ...
FRANCISCO X. FONTENELE, SÉRGIO L. SILVA
doaj   +1 more source

Radical transversal lightlike hypersurfaces of almost complex manifolds with Norden metric [PDF]

arXiv, 2013
In this paper we introduce radical transversal lightlike hypersurfaces of almost complex manifolds with Norden metric. The study of these hypersurfaces is motivated by the fact that for indefinite almost Hermitian manifolds this class of lightlike hypersurfaces does not exist. We also establish that radical transversal lightlike hypersurfaces of almost
arxiv