scholarly journals Higher Order Tangent Spaces and Influence Functions

2014 ◽  
Vol 29 (4) ◽  
pp. 679-686 ◽  
Author(s):  
Aad van der Vaart
Keyword(s):  
Higher Order ◽  
Influence Functions ◽  
Order Tangent

scholarly journals Higher order tangent bundles of projective spaces and lens spaces

1970 ◽  
Vol 22 (2) ◽  
pp. 200-209
Author(s):  
Hiroshi Ôike
Keyword(s):  
Projective Spaces ◽  
Higher Order ◽  
Lens Spaces ◽  
Tangent Bundles ◽  
Order Tangent

Canonical Poisson–Nijenhuis structures on higher order tangent bundles

2014 ◽  
Vol 111 (1) ◽  
pp. 21-37
Author(s):  
P. M. Kouotchop Wamba
Keyword(s):  
Higher Order ◽  
Tangent Bundles ◽  
Order Tangent

A higher-order tangent map and a conjecture on the higher Nash blowup of curves

2020 ◽  
Author(s):  
Enrique Chávez-Martínez ◽  
Daniel Duarte ◽  
Arturo Giles Flores
Keyword(s):  
Higher Order ◽  
Order Tangent

scholarly journals Higher-Order Optimality Conditions and Higher-Order Tangent Sets

2017 ◽  
Vol 27 (4) ◽  
pp. 2508-2527
Author(s):  
Jean-Paul Penot
Keyword(s):  
Optimality Conditions ◽  
Higher Order ◽  
Tangent Sets ◽  
Order Tangent

Higher-order tangent derivative and its applications to sensitivity analysis

2021 ◽  
Author(s):  
Nguyen Le Hoang Anh ◽  
Nguyen Manh Truong Giang ◽  
Nguyen Vy Thong
Keyword(s):  
Sensitivity Analysis ◽  
Higher Order ◽  
Order Tangent

GEOMETRIC STUDY OF HAMILTON'S VARIATIONAL PRINCIPLE

1991 ◽  
Vol 03 (04) ◽  
pp. 379-401 ◽  
Author(s):  
JOSÉ F. CARIÑENA ◽  
CARLOS LÓPEZ
Keyword(s):  
Variational Calculus ◽  
Higher Order ◽  
Lagrangian Mechanics ◽  
Lagrange Equations ◽  
Order Case ◽  
Helmholtz Conditions ◽  
Higher Order Tangent Bundle ◽  
Order Tangent ◽  
Geometric Study

Higher order tangent bundle geometry and sections along maps are used in Geometrical Mechanics in order to develop an intrinsic variational calculus. The role of variational derivative as the bundle operator associated to exterior differential on the set of trajectories is remarked. Euler-Lagrange equations and Poincaré-Cartan form are rederived in this way. Helmholtz conditions for the inverse problem of Lagrangian Mechanics are geometrically obtained for the general higher order case.

scholarly journals Natural transformations of higher order tangent bundles and jet spaces

1989 ◽  
Vol 114 (2) ◽  
pp. 181-186
Author(s):  
Ivan Kolář ◽  
Gabriela Vosmanská
Keyword(s):  
Higher Order ◽  
Jet Spaces ◽  
Natural Transformations ◽  
Tangent Bundles ◽  
Order Tangent
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