Results 71 to 80 of about 11,024 (141)
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
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Principal Manifold Estimation via Model Complexity Selection. [PDF]
Meng K, Eloyan A.
europepmc +1 more source
Geometrical aspects of spinor and twistor analysis [PDF]
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]
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
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
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4D Atlas: Statistical Analysis of the Spatiotemporal Variability in Longitudinal 3D Shape Data. [PDF]
Laga H +5 more
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Conformality on Semi-Riemannian Manifolds
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
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Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications
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
Uncovering shape signatures of resting-state functional connectivity by geometric deep learning on Riemannian manifold. [PDF]
Dan T +5 more
europepmc +1 more source
From the Jordan Product to Riemannian Geometries on Classical and Quantum States. [PDF]
Ciaglia FM, Jost J, Schwachhöfer L.
europepmc +1 more source

