Local manifold learning and its link to domain-based physics knowledge
In many reacting flow systems, the thermo-chemical state-space is known or assumed to evolve close to a low-dimensional manifold (LDM). Various approaches are available to obtain those manifolds and subsequently express the original high-dimensional ...
Kamila Zdybał +5 more
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Revisiting the classification of homogeneous 3-Sasakian and quaternionic Kähler manifolds [PDF]
We provide a new, self-contained proof of the classification of homogeneous 3-Sasakian manifolds, which was originally obtained by Boyer et al. (J Reine Angew Math 455:183–220, [ 10 ]).
Oliver Goertsches +2 more
semanticscholar +1 more source
Geodesic complexity of homogeneous Riemannian manifolds
We study the geodesic motion planning problem for complete Riemannian manifolds and investigate their geodesic complexity, an integer-valued isometry invariant introduced by D Recio-Mitter. Using methods from Riemannian geometry, we establish new lower and upper bounds on geodesic complexity and compute its value for certain classes of examples with a ...
Mescher, Stephan, Stegemeyer, Maximilian
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Group manifolds and homogeneous spaces with HKT geometry: The role of automorphisms
We present a new simple proof of the fact that certain group manifolds as well as certain homogeneous spaces G/H of dimension 4n admit a triple of integrable complex structures that satisfy the quaternionic algebra and are covariantly constant with ...
A.V. Smilga
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Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect
José Luis Carmona Jiménez +1 more
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Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect
This paper deals with a diffusive predator–prey model with two delays. First, we consider the local bifurcation and global dynamical behavior of the kinetic system, which is a predator–prey model with cooperative hunting and Allee effect.
Yanfei Du, Ben Niu, Junjie Wei
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Type I Almost-Homogeneous Manifolds of Cohomogeneity One—IV
This paper is one of a series in which we generalize our earlier results on the equivalence of existence of Calabi extremal metrics to the geodesic stability for any type I compact complex almost homogeneous manifolds of cohomogeneity one. In this paper,
Zhuang-Dan Daniel Guan +2 more
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Pseudoconvex domains spread over complex homogeneous manifolds [PDF]
Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain spread over a complex homogeneous manifold to be Stein. This is then applied to study the holomorphic reduction of pseudoconvex complex homogeneous manifolds X=G/H. Under the
Gilligan, Bruce +2 more
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Kähler immersions of homogeneous Kähler manifolds into complex space forms [PDF]
11 ...
LOI, ANDREA, DI SCALA AJ, HISHI H.
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Linear invariants of complex manifolds and their plurisubharmonic variations [PDF]
For a bounded domain $D$ and a real number $p>0$, we denote by $A^p(D)$ the space of $L^p$ integrable holomorphic functions on $D$, equipped with the $L^p$- pseudonorm.
F. Deng +3 more
semanticscholar +1 more source

