Riemannian geometry has today become a vast and important subject. This new book of
Marcel Berger sets out to introduce readers to most of the living topics of the field and …

Данная работа посвящена одному из разделов современной римановой
геометриитеории однородных римановых многообразий, т. е таких римановых …

Motivation The shape of a cell is tightly controlled, and reflects important processes
including actomyosin activity, adhesion properties, cell differentiation, and polarization …

Many problems in pure and applied mathematics boil down to determining the shape of a
surface in space or constructing surfaces with prescribed geometric properties. These …

In this paper, we explore in detail the stability properties of time-domain numerical methods
for multi-time partial differential equations (MPDEs). We demonstrate that simple techniques …

We solve the Bonnet problem for surfaces in the homogeneous 3-manifolds with a 4-
dimensional isometry group. More specifically, we show that a simply connected real …

This paper introduces a generative model for 3D surfaces based on a representation of
shapes with mean curvature and metric, which are invariant under rigid transformation …

Conformal immersions of prescribed mean curvature in R3 - ScienceDirect Skip to main
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In this work, the authors study Bonnet Problems using Cartan moving frames and associated
structure equations. The Cartan structural forms are written in terms of the first and second …

Boundary Value Problems for Metrics on 3-manifolds Page 1 Boundary Value Problems for
Metrics on 3-manifolds Michael T. Anderson Dedicated to Jeff Cheeger for his 65th birthday …