Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Gregor Weingart"'
Autor:
Tillmann Jentsch, Gregor Weingart
Publikováno v:
Annals of Global Analysis and Geometry. 59:109-156
Naturally reductive spaces, in general, can be seen as an adequate generalization of Riemannian symmetric spaces. Nevertheless, there are some that are closer to symmetric spaces than others. On the one hand, there is the series of Hopf fibrations ov
Autor:
Tillmann Jentsch, Gregor Weingart
Publikováno v:
Asian Journal of Mathematics. 24:369-416
Publikováno v:
Communications in Mathematical Physics
Special p-forms are forms which have components \phi_{\mu_1...\mu_p} equal to +1,-1 or 0 in some orthonormal basis. A p-form \phi\in \Lambda^p R^d is called democratic if the set of nonzero components {\phi_{\mu_1...\mu_p}} is symmetric under the tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b190c040c357ab53fca055e904ebb28
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/42900
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/42900
Autor:
Uwe Semmelmann, Gregor Weingart
In this article we study the stability problem for the Einstein-Hilbert functional on compact symmetric spaces following and completing the seminal work of Koiso on the subject. We classify in detail the irreducible representations of simple Lie alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02ee629a94737e0de6001a6b55d77468
Autor:
Gregor Weingart
Publikováno v:
Advances in Geometry. 16:205-229
The tangent space of a Lie loop, a non-associative Lie group, carries the structure of a Sabinin algebra, an algebraic concept generalizing Lie algebras. Alternatively a Sabinin algebra can be interpreted as the universal local covariant of a flat af
Autor:
Gregor Weingart
Publikováno v:
Gregor Weingart
Bull. Belg. Math. Soc. Simon Stevin 26, no. 3 (2019), 365-400
Bull. Belg. Math. Soc. Simon Stevin 26, no. 3 (2019), 365-400
Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6dc37d9daede969d1542a88d2ae21651
Publikováno v:
Differential Geometry and its Applications. 27:696-701
We show any pseudo-Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Hermitian curvature model, hyper-pseudo-Hermitian curvature model,
Autor:
Owen Dearricott, Fernando Galaz-García, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller
Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric gro
Autor:
Christine Escher, Gregor Weingart
Publikováno v:
Mathematische Annalen. 316:743-769
In contrast to all known examples, we show that in the case of minimal isometric immersions of \(S^3\) into \(S^N\) the smallest target dimension is almost never achieved by an \(SU(2)\)-equivariant immersion. We also give new criteria for linear rig
Publikováno v:
Mathematische Zeitschrift. 230:727-751
We consider the Dirac operator on compact quaternionic Kahler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the quaternionic projective space.