Zobrazeno 1 - 10
of 188
pro vyhledávání: '"primary 53c15"'
Autor:
Zawadzki, Tomasz
On the domain of a Riemannian submersion, we consider variations (i.e., smooth one-parameter families) of Riemannian metrics, for which the submersion is Riemannian and which all keep the metric induced on its fibers fixed. We obtain a formula for th
Externí odkaz:
http://arxiv.org/abs/2412.00969
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie algebras up to dimension four and all six-dimensional nilpotent Lie a
Externí odkaz:
http://arxiv.org/abs/2411.04856
G-structures and Cartan geometries are two major approaches to the description of geometric structures (in the sense of differential geometry) on manifolds of some fixed dimension $n$. We show that both descriptions naturally extend to the setting of
Externí odkaz:
http://arxiv.org/abs/2410.10410
Autor:
Kaur, Rajinder, Kaur, Jasleen
The present paper introduces the geometry of screen generic lightlike submanifolds of a locally bronze semi-Riemannian manifolds endowed with an (l,m)-type connection. The characterization theorems on geodesicity of such submanifolds with respect to
Externí odkaz:
http://arxiv.org/abs/2409.11730
A tensor -- meaning here a tensor field $\Theta$ of any type $(p,q)$ on a manifold -- may be called integrable if it is parallel relative to some torsion-free connection. We provide analytical and geometric characterizations of integrability for diff
Externí odkaz:
http://arxiv.org/abs/2407.04539
In this paper we study the space $\mathbb{L}(n)$ of $n$-gons in the plane degenerated to segments. We prove that this space is a smooth real submanifold of $\mathbb{C}^n$, and describe its topology in terms of the manifold $\mathbb{M}(n)$ of $n$-gons
Externí odkaz:
http://arxiv.org/abs/2405.13789
Autor:
Sillari, Lorenzo
We prove that, on a compact almost complex manifold, the space of almost complex structures whose Nijenhuis tensor has rank at least $k$ at every point is either empty or dense in each path-connected component of the space of almost complex structure
Externí odkaz:
http://arxiv.org/abs/2404.10079
Autor:
Sillari, L., Tomassini, A.
In 1954, Hirzebruch reported a problem posed by Kodaira and Spencer: on compact almost complex manifolds, is the dimension $h^{p,q}_{\bar \partial}$ of the kernel of the Dolbeault Laplacian independent of the choice of almost Hermitian metric? In thi
Externí odkaz:
http://arxiv.org/abs/2312.12366
Autor:
Sillari, Lorenzo, Tomassini, Adriano
We study the spaces of $(d + d^c)$-harmonic forms and $(d + d^\Lambda)$-harmonic forms, the natural generalization of the spaces of Bott-Chern harmonic forms, resp. symplectic harmonic forms from complex, resp. symplectic, manifolds to almost Hermiti
Externí odkaz:
http://arxiv.org/abs/2310.10304
Autor:
Zagane, Abderrahim
Publikováno v:
International Journal of Maps in Mathematics,Volume 7, Issue 2, 2024, Pages:138-155
In this paper, we investigate some geodesics and $F$-geodesics problems on tangent bundle and on $\varphi$-unit tangent bundle $T^{\varphi}_{1}M$ equipped with the $\varphi$-Sasaki metric over para-K\"{a}hler-Norden manifold $(M^{2m}, \varphi, g)$.
Externí odkaz:
http://arxiv.org/abs/2309.01830