Zobrazeno 1 - 10
of 1 769
pro vyhledávání: '"Fundamental theorem of Riemannian geometry"'
Autor:
Tekin Dereli, Keremcan Doğan
Metric-affine and generalized geometries are arguably the appropriate mathematical frameworks for Einstein’s theory of gravity and low-energy effective string field theory, respectively. In fact, mathematical structures in a metric-affine geometry
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7172f4d4630ee2fd0fb6cc388c33ccb5
http://arxiv.org/abs/2006.05957
http://arxiv.org/abs/2006.05957
Autor:
David S. Wack, Jean M. Vettel, Sarah F. Muldoon, Henry E. Baidoo-Williams, Matthew Cieslak, Konstantinos Slavakis, Shiva Salsabilian, Scott T. Grafton
Publikováno v:
IEEE Transactions on Signal and Information Processing over Networks. 4:519-533
This paper advocates Riemannian multi-manifold modeling for network-wide time-series analysis: Dynamic brain-network data yield features which are viewed as points in or close to a union of a finite number of submanifolds of a Riemannian manifold. Di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efd947c594258d6b14b815f1f80f2ce9
https://doi.org/10.1109/tsipn.2017.2774504
https://doi.org/10.1109/tsipn.2017.2774504
Autor:
Bogdan Balcerzak
Publikováno v:
Symmetry
Volume 13
Issue 6
Symmetry, Vol 13, Iss 1003, p 1003 (2021)
Volume 13
Issue 6
Symmetry, Vol 13, Iss 1003, p 1003 (2021)
In this note, we discuss symmetric brackets on skew-symmetric algebroids associated with metric or symplectic structures. Given a pseudo-Riemannian metric structure, we describe the symmetric brackets induced by connections with totally skew-symmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a589b0763d66bdcd4760ccc486ba3cea
https://doi.org/10.3390/sym13061003
https://doi.org/10.3390/sym13061003
Publikováno v:
Journal of Geometry and Physics. 121:335-346
We consider the generalization of the Navier-Stokes equations from $\mathbb R^n$ to the Riemannian manifolds. There are inequivalent formulations of the Navier-Stokes equations on manifolds due to the different possibilities for the Laplacian operato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66affc00d40d3da65729a5f0a143f289
https://doi.org/10.1016/j.geomphys.2017.07.015
https://doi.org/10.1016/j.geomphys.2017.07.015
Autor:
Claude LeBrun
Publikováno v:
The Journal of Geometric Analysis. 30:2491-2514
A Riemannian metric on a compact 4-manifold is said to be Bach-flat if it is a critical point for the $$L^2$$ -norm of the Weyl curvature. When the Riemannian 4-manifold in question is a Kahler surface, we provide a rough classification of solutions,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::234b950713e80cd40257b45d173910ed
https://doi.org/10.1007/s12220-017-9925-x
https://doi.org/10.1007/s12220-017-9925-x
Autor:
Haizhong Li, Xi Guo
Publikováno v:
Proceedings of the American Mathematical Society. 146:325-333
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9948088ecb55b18566b0832588e5fa25
https://doi.org/10.1090/proc/13594
https://doi.org/10.1090/proc/13594
Autor:
M. I. Belishev
Publikováno v:
Russian Mathematical Surveys. 72:581-644
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86001863f01373f5f32c8a93ddebadc9
https://doi.org/10.1070/rm9768
https://doi.org/10.1070/rm9768
Autor:
Yong Hong Huang
Publikováno v:
Acta Mathematica Sinica, English Series. 33:1565-1568
In this paper, we will show that every sub-Riemannian manifold is the Gromov–Hausdorff limit of a sequence of Riemannian manifolds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ae7c6c503f4ce6b5564f97c7bed75de
https://doi.org/10.1007/s10114-017-4543-x
https://doi.org/10.1007/s10114-017-4543-x
Autor:
Antonio Lotta, Giulia Dileo
Publikováno v:
manuscripta mathematica. 156:299-302
We prove that a Riemannian manifold admitting a metric connection with totally skew-symmetric torsion and reducible holonomy is locally reducible, provided it has nonpositive sectional curvature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8350418317d50a235b086e31ac0d135b
https://doi.org/10.1007/s00229-017-0967-y
https://doi.org/10.1007/s00229-017-0967-y