Results 21 to 30 of about 19,550 (73)

Coherent states and geodesics: cut locus and conjugate locus

, 1995
The intimate relationship between coherent states and geodesics is pointed out. For homogenous manifolds on which the exponential from the Lie algebra to the Lie group equals the geodesic exponential, and in particular for symmetric spaces, it is proved ...
Berceanu, Berceanu, Berceanu, Berceanu, Berceanu, Berceanu, Cahen, Cayley, Ceausescu, Chern, Crittenden, Ehresman, Gantmacher, Griffith, Guillemin, Helgason, Hirzebruch, Hurwitz, Husemoller, Jordan, Kirillov, Knapp, Kobayashi, Kobayashi, Kobayashi, Kostant, Kowalski, Lisiecki, Lisiecki, Milnor, Montgomery, Odzijewicz, Onofri, Perelomov, Pontrjagin, Rawnsley, Rosenfel'd, Rosenfel'd, Rosenfel'd, S Berceanu, Sakai, Sakai, Sakai, Shiffman, Siegel, Takeuchi, Takeuchi, Thimm, Warner, Weinstein, Wolf, Wolf, Wong, Wong, Wong, Wong, Woodhouse, Wu   +57 more
core   +1 more source

Morse theory, closed geodesics, and the homology of free loop spaces

, 2014
This is a survey paper on Morse theory and the existence problem for closed geodesics. The free loop space plays a central role, since closed geodesics are critical points of the energy functional.
Oancea, Alexandru
core  

Manifold interpolation and model reduction

, 2019
One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the sampled inputs stem from matrix sets that feature a geometric structure and thus
Zimmermann, Ralf
core  

What cannot be seen correctly in 2D visualizations of single-cell 'omics data? [PDF]

Cell Syst, 2023
Wang S, Sontag ED, Lauffenburger DA.
europepmc   +1 more source

RiemannInfer: improving transformer inference through Riemannian geometry. [PDF]

Sci Rep
Mao R, Zhang Z, Yang M, Xie H, Wei S, Hu C.   +5 more
europepmc   +1 more source

Geometric and singularities insights of swept surfaces via the Bishop frame in Euclidean 3-Space. [PDF]

PLoS One
Mofarreh F, Abdel-Baky R, Alsahli M.
europepmc   +1 more source

Complex Fluids in a Multifractal Space: Scale Covariance and the Emergence of the Fractal Force. [PDF]

Entropy (Basel)
Rusu DI, Ghizdovat V, Ochiuz L, Rusu O, Oprea I, Dobreci L, Agop M, Vasincu D.   +7 more
europepmc   +1 more source

The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]

Jahresber Dtsch Math Ver, 2023
Steinbauer R.
europepmc   +1 more source

Riemannian L-systems: modelling growing forms in curved spaces. [PDF]

Quant Plant Biol
Godin C, Boudon F.
europepmc   +1 more source

Penrose junction conditions with Λ : geometric insights into low-regularity metrics for impulsive gravitational waves. [PDF]

Gen Relativ Gravit, 2022
Podolský J, Steinbauer R.
europepmc   +1 more source