Results 21 to 30 of about 794 (54)
Open MathematicsThis article develops a self-contained account of minimal surfaces in hyperbolic three-space H3(−1) ${\mathbb{H}}^{3}\left(-1\right)$ from the vantage point of Willmore geometry and the DPW (loop-group) method.
Toda Magdalena +2 more
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Examples of naturally reductive pseudo-Riemannian Lie groups
We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group $(N, _N)$, such that $_N$ is invariant under a left action and for which the center is ...
Ovando, Gabriela P.
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A geometric proof of the Karpelevich-Mostow's theorem
In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit.
Di Scala, Antonio J., Olmos, Carlos
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Projectively induced rotation invariant K\"ahler metrics
We classify K\"ahler-Einstein manifolds which admit a K\"ahler immersion into a finite dimensional complex projective space endowed with the Fubini-Study metric, whose codimention is not greater than 3 and whose metric is rotation invariant.Comment: 9 ...
Salis, Filippo
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Health effects of European colonization: An investigation of skeletal remains from 19th to early 20th century migrant settlers in South Australia. [PDF]
PLoS One, 2022 Gurr A +5 more
europepmc +1 more source
Preferred Parameterisations on Homogeneous Curves [PDF]
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.Comment: 10 ...
Eastwood, Michael, Slovak, Jan
core
Nonlinear flag manifolds as coadjoint orbits. [PDF]
Ann Glob Anal Geom (Dordr), 2020 Haller S, Vizman C.
europepmc +1 more source
Corrigendum for "A geometric proof of the Karpelevich-Mostow theorem"
Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler proof of ...
Di Scala, Antonio J., Olmos, Carlos
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Randers Ricci soliton homogeneous nilmanifolds
Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
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Tamed symplectic structures on compact solvmanifolds of completely solvable type
A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
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