Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Katharina Neusser"'
Autor:
Katharina Neusser, Jun-Muk Hwang
A cone structure on a complex manifold $M$ is a closed submanifold $\mathcal C \subset \mathbb P TM$ of the projectivized tangent bundle which is submersive over $M$. A conic connection on $\mathcal C$ specifies a distinguished family of curves on $M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4621a60a9abe41c12c35f072511801f
http://arxiv.org/abs/2010.14958
http://arxiv.org/abs/2010.14958
The authors develop in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds. The authors realise it as a type of parabolic geometry and describe the associat
Publikováno v:
Differential Geometry and Tanaka Theory — Differential System and Hypersurface Theory —, T. Shoda and K. Shibuya, eds. (Tokyo: Mathematical Society of Japan, 2019)
For smooth manifolds equipped with various geometric structures, we construct complexes that replace the de Rham complex in providing an alternative fine resolution of the sheaf of locally constant functions. In case that the geometric structure is t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5e9469521b486ce54da16faa9166437
https://doi.org/10.2969/aspm/08210013
https://doi.org/10.2969/aspm/08210013
Autor:
Katharina Neusser, Karin Melnick
Publikováno v:
Transactions of the American Mathematical Society. 368:8079-8110
We study the local geometry of irreducible parabolic geometries admitting strongly essential flows; these are flows by local automorphisms with higher-order fixed points. We prove several new rigidity results, and recover some old ones for projective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbdf31357b3505381bcbb15d532d7c20
https://doi.org/10.1090/tran/6814
https://doi.org/10.1090/tran/6814
We show that the standard definitions of Sasaki structures have elegant and simplifying interpretations in terms of projective differential geometry. For Sasaki-Einstein structures we use projective geometry to provide a resolution of such structures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::397db583a1bd8682f3e5750e1496ca5f
Autor:
Vladimir S. Matveev, Katharina Neusser
We show that for any complete connected K\"ahler manifold the index of the group of complex affine transformations in the group of c-projective transformations is at most two unless the K\"ahler manifold is isometric to complex projective space equip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75d8386f49c1225015622c9a3eefc09b
http://arxiv.org/abs/1705.11138
http://arxiv.org/abs/1705.11138
Autor:
Michael Eastwood, Katharina Neusser
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f68f2ed151f1628b6a7801ad5ac63b3
Publikováno v:
Calderbank, D M J, Eastwood, M G, Matveev, V S & Neusser, K 2020, ' C-projective geometry ', Memoirs of American Mathematical Society, vol. 267, no. 1299, pp. 0-0 . https://doi.org/10.1090/memo/1299
Calderbank, D M J, Eastwood, M G, Matveev, V S & Neusser, K 2020, ' C-projective geometry ', Memoirs of American Mathematical Society, vol. 267, no. 1299, pp. 1-150 . https://doi.org/10.1090/memo/1299
Calderbank, D M J, Eastwood, M G, Matveev, V S & Neusser, K 2020, ' C-projective geometry ', Memoirs of American Mathematical Society, vol. 267, no. 1299, pp. 1-150 . https://doi.org/10.1090/memo/1299
We develop in detail the theory of c-projective geometry, a natural analogue of projective differential geometry adapted to complex manifolds. We realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection. A K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::946d2fef5010e45fc1e7a1ed403e6b62
Autor:
Katharina Neusser
Many interesting geometric structures can be described as regular infinitesimal flag structures, which occur as the underlying structures of parabolic geometries. Among these structures we have for instance conformal structures, contact structures, c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7bd08ca031828686c15ed59233ae285
http://arxiv.org/abs/1012.1686
http://arxiv.org/abs/1012.1686
Autor:
Katharina Neusser
Publikováno v:
Scopus-Elsevier
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acc16029b56b8a4e52f2af3d8e86ccf1