Zobrazeno 1 - 10
of 68
pro vyhledávání: '"53B20, 53B25"'
Autor:
Raffaelli, Matteo
Given a smooth $s$-dimensional submanifold $S$ of $\mathbb{R}^{m+c}$ and a smooth distribution $\mathcal{D}\supset TS$ of rank $m$ along $S$, we study the following geometric Cauchy problem: to find an $m$-dimensional rank-$s$ submanifold $M$ of $\ma
Externí odkaz:
http://arxiv.org/abs/2409.04358
Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in differential geometry. Building upon this concept, C. E. Hre\c{t}canu and M. Crasmareanu laid the foundation for metallic Riemannian manifolds in 2013. The field's rich
Externí odkaz:
http://arxiv.org/abs/2408.05318
Autor:
Deszcz, Ryszard, Głogowska, Małgorzata, Jełowicki, Jan, Petrović-Torgašev, Miroslava, Zafindratafa, Georges
We determine pseudosymmetry type curvature conditions of some 2-quasi-Einstein manifolds (M,g), dim M > 3, with the Riemann-Christoffel curvature tensor R expresed by a linear combination of Kulkarni-Nomizu products formed by the metric tensor g, the
Externí odkaz:
http://arxiv.org/abs/2405.18865
Autor:
Deszcz, Ryszard, Głogowska, Małgorzata, Hotloś, Marian, Petrović-Torgašev, Miroslava, Zafindratafa, Georges
The difference tensor R.C-C.R of a semi-Riemannian manifold (M,g), dim M > 3, formed by its Riemannian-Christoffel curvature tensor R and the Weyl conformal curvature tensor C, under some assumptions, can be expressed as a linear combination of (0,6)
Externí odkaz:
http://arxiv.org/abs/2306.16518
Autor:
Deszcz, Ryszard, Głogowska, Małgorzata, Hotloś, Marian, Petrović-Torgašev, Miroslava, Zafindratafa, Georges
For any semi-Riemannian manifold (M,g) we define some generalized curvature tensor as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor and its square of given manifold. That tensor is closely related to q
Externí odkaz:
http://arxiv.org/abs/2302.09387
The aim of this paper is to study the geometric properties of the point-like global monopole (briefly, PGM) spacetime, which is a static and spherically symmetric solution of the Einstein's field equations. It has shown that PGM spacetime admits vari
Externí odkaz:
http://arxiv.org/abs/2301.04897
We investigate hypersurfaces M isometrically immersed in an (n+1)-dimensional semi-Riemannian space of constant curvature, n > 3, such that the operator A^3, where A is the shape operator of M, is a linear combination of the operators A^2 and A and t
Externí odkaz:
http://arxiv.org/abs/2211.06700
Autor:
Juhl, Andreas
For any hypersurface $M$ of a Riemannian manifold $X$, recent works introduced the notions of extrinsic conformal Laplacians and extrinsic $Q$-curvatures. Here we derive explicit formulas for the extrinsic version ${\bf P}_4$ of the Paneitz operator
Externí odkaz:
http://arxiv.org/abs/2210.03982
Autor:
Juhl, Andreas
For any hypersurface of a Riemannian manifold, recent works introduced the notions of extrinsic conformal Laplacians and extrinsic Q-curvatures. Here we announce explicit formulas for the extrinsic Paneitz operators P_4 and the corresponding extrinsi
Externí odkaz:
http://arxiv.org/abs/2110.04838
Autor:
Juhl, Andreas, Orsted, Bent
We discuss the singular Yamabe obstruction $\mathcal{B}_3$ of a hypersurface in a four-dimensional general background. We derive various explicit formula for $\mathcal{B}_3$ from the original definition. We relate these formulas to corresponding form
Externí odkaz:
http://arxiv.org/abs/2103.01552