Results 101 to 110 of about 68,458 (245)
GEOMETRY OF CLAIRAUT CONFORMAL RIEMANNIAN MAPS
Journal of the Australian Mathematical SocietyAbstractThis article introduces the Clairaut conformal Riemannian map. This notion includes the previously studied notions of Clairaut conformal submersion, Clairaut Riemannian submersion, and the Clairaut Riemannian map as particular cases, and is well known in the classical theory of surfaces.
KIRAN MEENA +2 more
openaire +3 more sources
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
, 2010 We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the ...
Bonnard, Bernard +3 more
core +1 more source
On the evolution of harmonic mappings of Riemannian surfaces
Commentarii Mathematici Helvetici, 1985 Let (M,\(\gamma)\) be a Riemannian surface with metric tensor \(\gamma =(\gamma_{\alpha \beta})_{1\leq \alpha,\beta \leq 2}\) and (N,g) an n- manifold with metric tensor \(g=(g_{ij})_{1\leq i,j\leq n}\). For differentiable mappings \(u: M\to N\) an energy is defined \[ E(u)=\int_{M}e(u)dM,\quad e(u)=(1/2)\gamma^{\alpha \beta}(x) g_{ij}(u) (\partial ...
openaire +2 more sources
Torsion and the second fundamental form for distributions
, 2015 The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion.
Prince, G. E.
core
Neutral surfaces in neutral four-spaces
Le Matematiche, 1990 Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian ...
Gary Jensen, Marco Rigoli
doaj
CAAI Transactions on Intelligence TechnologyImage clustering has received significant attention due to the growing importance of image recognition. Researchers have explored Riemannian manifold clustering, which is capable of capturing the non‐linear shapes found in real‐world datasets.
Mengyuan Zhang, Jinglei Liu
doaj +1 more source
Rigidity Characterizations of Conformal Solitons
MathematicsWe study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj +1 more source
Recovery of time dependent coefficients from boundary data for hyperbolic equations
, 2019 We study uniqueness of the recovery of a time-dependent magnetic vector-valued potential and an electric scalar-valued potential on a Riemannian manifold from the knowledge of the Dirichlet to Neumann map of a hyperbolic equation.
Feizmohammadi, Ali +3 more
core
Exponentially Harmonic Maps into Spheres
Axioms, 2018 We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold M into a sphere S m ⊂ R m + 1 .
Sorin Dragomir, Francesco Esposito
doaj +1 more source
Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature [PDF]
, 2010 Jintang Li
openalex +1 more source