A Note on Coeffective 1–Differentiable Cohomology
After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
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Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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On a structure satisfying FK−(−)K+1F=0
In this paper we shall obtain certain results on the structure defined by F(K,−(−)K+1) and satisfying FK−(−)K+1F=0, where F is a non null tensor field of the type (1,1) Such a structure on an n-dimensional differentiable manifold Mn has been called F(K,−(
Lovejoy S. Das
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A Set of Axioms for the Degree of a Tangent Vector Field on Differentiable Manifolds
Given a tangent vector field on a finite-dimensional real smooth manifold, its degree (also known as characteristic or rotation) is, in some sense, an algebraic count of its zeros and gives useful information for its associated ordinary differential ...
Marco Spadini +2 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
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Examples of the Application of Nonparametric Information Geometry to Statistical Physics
We review a nonparametric version of Amari’s information geometry in which the set of positive probability densities on a given sample space is endowed with an atlas of charts to form a differentiable manifold modeled on Orlicz Banach spaces.
Giovanni Pistone
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Diversity and complexity in neural organoids
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
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Formation Control of Spacecraft Based on
In this paper, a set of integrated control problems for distributed spacecraft formation with input asymmetric constraints under external disturbances are studied.
Chaobo Li +4 more
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Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
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A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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