totally geodesic.
Totally geodesic foliations
... riemannian manifold which is foliated by totally geodesic leaves has finite holonomy... This result has some application to.[r] ...
82
Geodesics on Lie groups: Euler equations and totally geodesic subgroup
... Remark 4.1. If, in addition to being semisimple, g is also compact, then its Killing form is negative definite. Thus, we may use h·, ·i A = h− · , ·i K as choice of inner product. Since it is bi-invariant, it follows ...
28
Invariant submanifolds of N(κ)-contact metric manifolds
... be totally geodesic in the case of codimension ...is totally geodesic if the second fundamental form of the immersion is covariantly ...
18
A Note on Invariant Submanifolds of (LCS)n - Manifold
... For totally geodesic submanifolds, the geodesics of the ambient manifolds remain geodesics in the ...Hence, totally geodesic submanifolds are also very much important in physical ...
5
Turkish Journal of Analysis and Number Theory
... Furthermore, in [4], authors proved that some equivalent conditions of an invariant submanifold of trans-Sasakian to be totally geodesic. Recently, in [5], authors considered invariant submanifolds of ( κ,µ ...
6
Isotropic Lagrangian Submanifolds in Complex Space Forms
... We also know that isotropic Lagrangian submanifolds, are semi-parallel, for n ≥ 3 , [2]. In Theorem 2, we proved that, for n ≥ 3 , isotropic Lagrangian submanifolds are either totally geodesic or minimal. ...
6
The differential geometry of almost Hermitian almost contact metric submersions
... For each type, we have here examined: 1 the structure of the base space and the fibres according to that of the total space; 2 the classes of submersions with totally geodesic fibres; 3 th[r] ...
13
On contact CR submanifolds of sasakian manifolds
... last, we shall prove that a totally umbilical contact CR-submanifold satisfying certain conditions is totally geodesic in the ambient manifold THEOREM 8.1... KEY WARDS AND PHRASES.[r] ...
14
Oriented 6 dimensional submanifolds in the octonians, III
... Also, we prove that a 6-dimensional weakly ,-Einstein Hermitian submanifold in O is totally geodesic.. KEY WORDS AND PHRASES.[r] ...
10
LOW DIMENSIONAL SINGULAR RIEMANNIAN FOLIATIONS IN SPHERES
... one totally geodesic subsphere, and the 1-dimensional stratum consists on a disjoint union of totally geodesic spheres lying on mutually orthogonal ...
113
RIGIDITY OF MAGNETIC AND GEODESIC FLOWS
... In this thesis we will discus the flow of particles on a manifold, with and without the presence of a magnetic field. We will address two independent rigidity problems regarding this flows. The first problem relates to ...
58
On properties of geodesic semilocal E preinvex functions
... Next, some sufficient optimality conditions for the problem (VFP) are established. Theorem 3.1 Let κ ¯ ∈ K, E( κ) = ¯ κ ¯ and f , h be GSLEP and g be a geodesic semilocal E- preincave, and they are all ...
13
Random perturbation to the geodesic equation
... piecewise geodesic with a Poisson-type switching mechanism is shown to converge to the horizontal Brownian ...that geodesic flows perturbed by vertical Brownian motions were considered by Franchi and Le Jan ...
24
Path Induced Geodesic Graphs
... Let 𝐺 be a connected graph with at least two vertices. A connected geodetic set 𝑆 ⊆ 𝑉(𝐺) is said to be a path induced geodetic (pig) set of 𝐺 if < 𝑆 > contais a path 𝑃, where 𝑉(𝑃) = 𝑆. The minimum cardinality of a ...
8
Effective geometry of curve graphs
... This chapter consists of two sections. In Section 5.1 we shall define multipath and multigeodesic, and what it means for a multipath to be tight. We introduce the notion of a filling multipath. This is similar, but not ...
69
From random lines to metric spaces
... - geodesic connections between two specified points does not imply that almost surely all pairs of points are connected by unique -geodesics: a simple coun- terexample can be constructed by considering the ...
50
Geodesic Monte Carlo on embedded manifolds
... We have presented a scheme for sampling from distributions defined on manifolds embedded in Euclidean space by exploiting their known geodesic structure. This method has been illustrated using applications from ...
22
Geodesic on surfaces of constant Gaussian curvature
... Given a point p on a regular surface S, there are two unit vectors of R 3 that are normal to the tangent plane Tp (S)-, each of them is called a unit normal vector at p.[r] ...
60
Geodesic dome structural analysis and design
... Geodesic dome has very low centre of gravity than any other cubic or square structures of similar proportions. The light weight and rigid triangulated skeleton skin is able to enclose a large area without the need ...
135
The geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics
... the geodesic equation for the Dirichlet (gradient) metric in the space of K¨ ahler ...the geodesic equation of the combination metric, including the gradient ...
24