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Metric and Symmetric Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In this paper we give an alternative proof, without reference to Urysohn’s lemma, of the metrization theorem of Bing [ 2 ], Nagata [ 6 ], and Smirnov [ 8 ] via the theory of symmetric spaces as developed by H ...
openaire   +1 more source

On the adjoint of a symmetric operator [PDF]

open access: yes, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S.   +47 more
core   +1 more source

Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics

open access: yesMathematics
In this work, we consider holomorphically projective mappings of (pseudo-) Kähler spaces. We determine the conditions for finite complete geodesics that must be satisfied for the mappings to be trivial; i.e., these spaces are rigid.
Lenka Vítková   +2 more
doaj   +1 more source

On the transverse Scalar Curvature of a Compact Sasaki Manifold

open access: yesComplex Manifolds, 2014
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the ...
He Weiyong
doaj   +1 more source

Parabolic symmetric spaces [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2009
15 ...
openaire   +2 more sources

Weakly Ricci-Symmetric Space-Times and f (R,G) Gravity

open access: yesMathematics
In the present article, we classify conformally flat weakly Ricci-symmetric space-times and obtain that they represent Robertson–Walker space-times. Furthermore, we provethat a Ricci-recurrent weakly Ricci-symmetric space-time is static and a Ricci-semi ...
Yanlin Li, Uday Chand De, Krishnendu De
doaj   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds

open access: yesAxioms
This work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections.
Rawan Bossly   +4 more
doaj   +1 more source

On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces

open access: yesMathematics, 2019
We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces.
Miloš Z. Petrović   +2 more
doaj   +1 more source

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

open access: yesFEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai   +4 more
wiley   +1 more source

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