Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds [PDF]
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur +2 more
doaj +10 more sources
Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection [PDF]
In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
doaj +4 more sources
Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms [PDF]
In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi +3 more
doaj +4 more sources
Inequalities for submanifolds of Sasaki-like statistical manifolds
Summary: We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
Aytimur, Hülya, Özgür, Cihan
openaire +3 more sources
Small Black holes vs horizonless solutions in AdS [PDF]
It is argued that the appropriate macroscopic description of half-BPS mesonic chiral operators in generic $d=4$ ${\cal N}=1$ toric gauge theories is in terms of the geometric quantization of smooth horizonless configurations.
Simon, Joan
core +2 more sources
Nonminimal Couplings in the Early Universe: Multifield Models of Inflation and the Latest Observations [PDF]
Models of cosmic inflation suggest that our universe underwent an early phase of accelerated expansion, driven by the dynamics of one or more scalar fields.
A Zee +36 more
core +2 more sources
Unimodular measures on the space of all Riemannian manifolds [PDF]
We study unimodular measures on the space $\mathcal M^d$ of all pointed Riemannian $d$-manifolds. Examples can be constructed from finite volume manifolds, from measured foliations with Riemannian leaves, and from invariant random subgroups of Lie groups.
Abert, Miklos, Biringer, Ian
core +2 more sources
Random billiards with wall temperature and associated Markov chains [PDF]
By a random billiard we mean a billiard system in which the standard specular reflection rule is replaced with a Markov transition probabilities operator P that, at each collision of the billiard particle with the boundary of the billiard domain, gives ...
Chernov N +10 more
core +2 more sources
Strings on conifolds from strong coupling dynamics, part I [PDF]
A method to solve various aspects of the strong coupling expansion of the superconformal field theory duals of AdS_5 x X geometries from first principles is proposed.
A. Hanany +57 more
core +1 more source
Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
We study the AdS/CFT relation between an infinite class of 5-d Ypq Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS operators of the field theories are matched to massless geodesics in the geometries, providing a test of AdS ...
A. Butti +61 more
core +1 more source

