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Publikováno v:
Journal of Geometry and Physics. 138:215-222
We consider a differential expression L V ∇ = ∇ † ∇ + V , where ∇ is a metric covariant derivative on a Hermitian bundle E over a geodesically complete Riemannian manifold ( M , g ) with metric g , and V is a linear self-adjoint bundle map
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a88ff9b1cedbe3d203013f66c35fb258
https://doi.org/10.1016/j.geomphys.2019.01.001
https://doi.org/10.1016/j.geomphys.2019.01.001
Autor:
Plastock, Roy
Publikováno v:
Transactions of the American Mathematical Society, 1983 Jan 01. 275(1), 373-380.
Externí odkaz:
https://www.jstor.org/stable/1999026
Autor:
Berger, M. S., Plastock, R. A.
Publikováno v:
Proceedings of the American Mathematical Society, 1980 Jun 01. 79(2), 217-221.
Externí odkaz:
https://www.jstor.org/stable/2043238
Autor:
Gottlieb, Daniel Henry
Publikováno v:
Transactions of the American Mathematical Society, 1972 Sep 01. 171, 23-50.
Externí odkaz:
https://www.jstor.org/stable/1996373
Autor:
Poritz, Alan B.
Publikováno v:
Transactions of the American Mathematical Society, 1970 Dec 01. 152(2), 461-494.
Externí odkaz:
https://www.jstor.org/stable/1995582
Autor:
Liran Shaul, Victor Vinnikov
We formulate and solve a pole placement problem by state feedback for overdetermined 2D systems modeled by commutative operator vessels. In this setting, the transfer function of the system is given by a meromorphic bundle map between two holomorphic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::446f5ce130133469beb28bb71a9d870e
Autor:
Andrea Causin
Publikováno v:
Linear Algebra and its Applications. 434(2):501-506
Given n ∈ N , let X be either the set of hermitian or real n × n matrices of rank at least n - 1 . If n is even, we give a sharp estimate on the maximal dimension of a real vector space V ⊂ X ∪ { 0 } . The results are obtained, via K -theory,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92022d9bc956e6c730fd1ea6a77dbd72
Autor:
Burak Ozbagci
Publikováno v:
Geometry & Topology Monographs.
Definition 1.2 An almost-complex structure on an even-dimensional manifold X is a complex structure on its tangent bundle TX , or equivalently a bundle map J W TX ! TX with J iJ D idTX . The pair .X;J / is called an almost complex manifold. It is cal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1f646d5f3b42cc23e0331d7b04c547b
https://doi.org/10.2140/gtm.2015.19.73
https://doi.org/10.2140/gtm.2015.19.73
Autor:
Bavo Langerock
Publikováno v:
Acta Applicandae Mathematicae. 77:71-104
A coordinate-free proof of the maximum principle is provided in the specific case of an optimal control problem with fixed time. Our treatment heavily relies on a special notion of variation of curves that consist of a concatenation of integral curve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d9986a20ab4e4d4a99223f883bff12f
https://doi.org/10.1023/a:1023687217000
https://doi.org/10.1023/a:1023687217000