Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Loiudice, Eugenia"'
Autor:
Goertsches, Oliver, Loiudice, Eugenia
We introduce quaternionic structures on abstract GKM graphs, as the combinatorial counterpart of almost quaternionic structures left invariant by a torus action of GKM type. In the GKM$_3$ setting the 2-faces of the GKM graph can naturally be divided
Externí odkaz:
http://arxiv.org/abs/2408.09299
Autor:
Loiudice, Eugenia
We study the Boothby-Wang fibration of para-Sasakian manifolds and introduce the class of para-Sasakian $\phi$-symmetric spaces, canonically fibering over para-Hermitian symmetric spaces. Using this fibration we give a method to explicitly construct
Externí odkaz:
http://arxiv.org/abs/2312.14707
We consider compact manifolds $M$ with a cohomogeneity one action of a compact Lie group $G$ such that the orbit space $M/G$ is a closed interval. For $T$ a maximal torus of $G$, we find necessary and sufficient conditions on the group diagram of $M$
Externí odkaz:
http://arxiv.org/abs/2202.07700
Autor:
Goertsches, Oliver, Loiudice, Eugenia
We show that any compact metric $f$-$K$-contact, respectively $S$-manifold is obtained from a compact $K$-contact, respectively Sasakian manifold by an iteration of constructions of mapping tori, rotations, and type II deformations.
Externí odkaz:
http://arxiv.org/abs/2008.08365
We prove that if the $f$-sectional curvature at any point $p$ of a $(2n+s)$-dimensional $f$-$(\kappa,\mu)$ manifold with $n>1$ is independent of the $f$-section at $p$, then it is constant on the manifold. Moreover, we also prove that an $f$-$(\kappa
Externí odkaz:
http://arxiv.org/abs/2005.08643
Autor:
Goertsches, Oliver, Loiudice, Eugenia
We observe that the class of metric $f$-$K$-contact manifolds, which naturally contains that of $K$-contact manifolds, is closed under forming mapping tori of automorphisms of the structure. We show that the de Rham cohomology of compact metric $f$-$
Externí odkaz:
http://arxiv.org/abs/1907.12350
Autor:
Loiudice, Eugenia, Lotta, Antonio
Publikováno v:
Pacific J. Math. 300 (2019) 39-63
We present a classification of the complete, simply connected, contact metric $(\kappa,\mu)$-spaces as homogeneous contact metric manifolds, by studying the base space of their canonical fibration. According to the value of the Boeckx invariant, it t
Externí odkaz:
http://arxiv.org/abs/1704.01310
Autor:
Loiudice, Eugenia
In this work we consider a class of contact manifolds $(M,\eta)$ with an associated almost contact metric structure $(\phi, \xi, \eta,g)$. This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class $C_9\oplus C_{10
Externí odkaz:
http://arxiv.org/abs/1607.07202
Publikováno v:
Forum Mathematicum. 35:391-407
We consider compact manifolds $M$ with a cohomogeneity one action of a compact Lie group $G$ such that the orbit space $M/G$ is a closed interval. For $T$ a maximal torus of $G$, we find necessary and sufficient conditions on the group diagram of $M$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2348b06244775079b3c54d2c08762438
https://doi.org/10.1515/forum-2022-0061
https://doi.org/10.1515/forum-2022-0061
Autor:
Loiudice Eugenia
Publikováno v:
Demonstratio Mathematica, Vol 50, Iss 1, Pp 231-238 (2017)
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chi
Externí odkaz:
https://doaj.org/article/88b2af52b50f4779a844dd9fe4918563