Bianchi I Cosmology and Scalar Vector Tensor Brans Dicke Gravity by Hossein Ghaffarnejad, Hoda Gholipour

“…We obtain several critical manifolds whose nature of stable (sink) or quasi stable (saddle) are dependent to direction of the used vector field. …”
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Vector bundles over three-dimensional spherical space forms by Esdras Teixeira Costa, Oziride Manzoli Neto, Mauro Spreafico

“…We consider the problem of enumerating the G-bundles over low-dimensional manifolds (dimension ≤3) and in particular vector bundles over the three-dimensional spherical space forms. …”
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Une machine à tenseurs TT sur les variétés d’Einstein by Delay, Erwann

“…In all dimensions $n \ge 3$, we introduce a differential operator of order 4 which, on Einstein manifolds, transforms the (fields of) trace free symmetric two tensors into TT-tensors. …”
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On pz–Laplacian System Involving Critical Nonlinearities by Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane, Maria Alessandra Ragusa

“…In this paper, we deal with the existence of at least two nonnegative nontrivial solutions to a pz–Laplacian system involving critical nonlinearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method and doing a refined analysis on the associated fiber map and some variational techniques.…”
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Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum by Ning Song

“…We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works. Using this spectral theorem, we extend smooth normal forms from autonomous difference systems to nonautonomous ones.…”
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Comparative Ethics of Modern Payment Models by Jacob Riegler

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Image sets of folding surfaces by Ana M. d'Azevedo Breda

“…Isometric foldings are a special class of length-preserving maps of Riemannian manifolds and were initially studied by S. Robertson. …”
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Regenerations and applications by Giovanni Mongardi, Gianluca Pacienza

“…We show that, for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results.…”
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On the Electromagnetic Vacuum Origins of Dark Energy, Dark Matter, and Astrophysical Jets by Stuart Marongwe

“…We use a semiclassical version of the Nexus paradigm of quantum gravity in which the quantum vacuum at large scales is dominated by the second quantized electromagnetic field to demonstrate that a virtual photon field can affect the geometric evolution of Einstein manifolds or Ricci solitons. This phenomenon offers a cogent explanation of the origins of astrophysical jets, the cosmological constant, and a means of detecting galactic dark matter.…”
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Approximate Lie Symmetry Conditions of Autoparallels and Geodesics by Sameerah Jamal

“…Lastly, we exemplify the results by application to some approximate wave-like manifolds.…”
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Optimal $L^2$ Extensions of Openness Type and Related Topics by Xu, Wang, Zhou, Xiangyu

“…We establish several optimal $L^2$ extension theorems of openness type on weakly pseudoconvex Kähler manifolds. We prove a product property for certain minimal $L^2$ extensions, which generalizes the product property of Bergman kernels. …”
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Notes on integrating out M2 branes by Jarod Hattab, Eran Palti

“…Abstract Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi–Yau manifolds is an important calculation: it allows the determination of, and in some ways defines, the free energy of topological strings. …”
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An application of stress energy tensor to the vanishing theorem of differential forms by Kairen Cai

“…It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic space form, if any vector bundle valued p-form with conservative stress energy tensor is of finite norm or slowly divergent norm, then the p-form vanishes. …”
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Exact Computations in Topological Abelian Chern-Simons and BF Theories by Philippe Mathieu

“…We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. …”
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Discrete Wilson Lines in F-Theory by Volker Braun

“…F-theory models are constructed where the 7 -brane has a nontrivial fundamental group. The base manifolds used are a toric Fano variety and a smooth toric threefold coming from a reflexive polyhedron. …”
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West Indian Fruit Fly, Anastrepha obliqua (Macquart) (Insecta: Diptera: Tephritidae) by Howard V. Weems, John B. Heppner, Gary J. Steck, Thomas R. Fasulo

“…Anastrepha obliqua is a major pest of mangoes in most tropical countries, making the production of some varieties unprofitable. …”
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West Indian Fruit Fly, Anastrepha obliqua (Macquart) (Insecta: Diptera: Tephritidae) by Howard V. Weems, John B. Heppner, Gary J. Steck, Thomas R. Fasulo

“…Anastrepha obliqua is a major pest of mangoes in most tropical countries, making the production of some varieties unprofitable. …”
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Effects of Harvest Method on Microclimate in Florida Sugarcane by Hardev Sandhu, Maninder Singh, Robert Gilbert, Kelly Morgan, Ronald Rice, Leslie Baucum, James Shine, Mike Irey

“…Results are presented in this 3-page fact sheet written by Hardev Sandhu, Maninder Singh, Robert Gilbert, Kelly Morgan, Ronald Rice, Leslie Baucum, James Shine Jr., and Mike Irey, and published by the UF Department of Agronomy, April 2015. …”
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Effects of Harvest Method on Microclimate in Florida Sugarcane by Hardev Sandhu, Maninder Singh, Robert Gilbert, Kelly Morgan, Ronald Rice, Leslie Baucum, James Shine, Mike Irey

“…Results are presented in this 3-page fact sheet written by Hardev Sandhu, Maninder Singh, Robert Gilbert, Kelly Morgan, Ronald Rice, Leslie Baucum, James Shine Jr., and Mike Irey, and published by the UF Department of Agronomy, April 2015. …”
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Gauged supergravity from the Lunin-Maldacena background by James T. Liu, Brian McPeak

“…We comment on the relation between this solution and similar constructions on Sasaki-Einstein manifolds, as well as the possibility of further consistent truncations which generalize the Lunin-Maldacena solution.…”
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