Results 71 to 80 of about 11,024 (141)

Riemannian Maps

open access: yes, 2017
In this chapter, we study Riemannian maps between Riemannian manifolds. In section 1, we define Riemannian maps and give the main properties of such maps. In section 2, we obtain Gauss-Weingarten-like formulas and then we obtain Gauss, Codazzi, and Ricci
Sahin, Bayram, Bayram Şahin
core   +1 more source

Principal Manifold Estimation via Model Complexity Selection. [PDF]

open access: yesJ R Stat Soc Series B Stat Methodol, 2021
Meng K, Eloyan A.
europepmc   +1 more source

Geometrical aspects of spinor and twistor analysis [PDF]

open access: yes
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
core  

Holonomy and submanifold geometry [PDF]

open access: yes, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S   +4 more
core  

Basic Geometric Structures on Manifolds

open access: yes, 2017
In this chapter, we give brief information about geometric structures which will be used in the following chapters. In addition to the basic concepts, some geometric notions such as symmetry conditions, parallelity conditions, new product structures on ...
Sahin, Bayram, Bayram Şahin
core   +1 more source

4D Atlas: Statistical Analysis of the Spatiotemporal Variability in Longitudinal 3D Shape Data. [PDF]

open access: yesIEEE Trans Pattern Anal Mach Intell, 2023
Laga H   +5 more
europepmc   +1 more source

Conformality on Semi-Riemannian Manifolds

open access: yes, 2016
We introduce here the notion of conformal semi-Riemannian map between semi-Riemannian manifolds aiming to unify and generalize two geometric concepts. The first one is studied by Garcia-Rio and Kupeli (namely, semi-Riemannian map between semi-Riemannian ...
Eken, Semsi, Bejan, Cornelia-Livia
core   +1 more source

Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications

open access: yes, 2017
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel ...
Sahin, Bayram, Sahin B.
core  

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