Results 61 to 70 of about 1,183 (218)
Semi-invariant submanifolds of K-manifolds
We are concerned with $\mathcal K$-manifolds which are a natural generalization of metric quasi-Sasakian ma\-ni\-folds. They are Riemannian manifolds with a compatible $f$-stru\-ctu\-re which admits a parallelizable kernel, have closed Sasaki 2 ...
Verroca, Francesca +3 more
core +1 more source
Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor
In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
doaj +1 more source
Wall–chamber decompositions for generalised Monge–Ampère equations
Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
wiley +1 more source
String topology via the coHochschild complex and local intersections
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley +1 more source
Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold
In this paper, we introduce a new class of lightlike submanifolds, namely, semi-invariant lightlike submanifolds of a semi-Riemannian product manifold. We investigate totally umbilical, curvature invariant lightlike submanifolds in real space forms M-1(c(
Atceken, Mehmet +3 more
core +1 more source
Algebraic Observability of Rational Systems
ABSTRACT For nonlinear systems, the concept of observability is defined by the indistinguishability of states. In the practical implementation, the distinguishing of states is carried out via the observability map consisting of Lie derivatives. This approach is comparatively difficult for general nonlinear systems.
Klaus Röbenack, Daniel Gerbet
wiley +1 more source
IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS [PDF]
Riemannian invariants (in particular Chen invariants) play an important role in the theory of submanifolds. They are very useful in providing relationships between the extrinsic and intrinsic invariants of a submanifold.
GABRIEL MACSIM
doaj
An Inequality on Quaternionic CR-Submanifolds
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
doaj +1 more source
Invariant submanifolds in flow geometry [PDF]
AbstractWe begin a study of invariant isometric immersions into Riemannian manifolds (M, g) equipped with a Riemannian flow generated by a unit Killing vector field ξ. We focus our attention on those (M, g) where ξ is complete and such that the reflections with respect to the flow lines are global isometries (that is, (M, g) is a Killing-transversally ...
González-Dávila, J. C. +2 more
openaire +2 more sources
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source

