Results 1 to 10 of about 2,209,168 (49)

Multi linear formulation of differential geometry and matrix regularizations

, 2012
We prove that many aspects of the differential geometry of em-bedded Riemannian manifolds can be formulated in terms of multilinear algebraic structures on the space of smooth functions.
Hoppe, Jens,, Arnlind, Joakim,, Huisken, Gerhard,   +2 more
core   +9 more sources

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]

, 2012
The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
core   +1 more source

Special Lagrangian submanifolds with isolated conical singularities. II. Moduli spaces [PDF]

, 2002
This is the second in a series of five papers math.DG/0211294, math.DG/0302355, math.DG/0302356, math.DG/0303272 studying special Lagrangian submanifolds (SL m-folds) X in (almost) Calabi-Yau m-folds M with singularities x_1,...,x_n locally modelled on ...
Joyce, D, Joyce, Dominic
core   +1 more source

Symplectic Applicability of Lagrangian Surfaces [PDF]

, 2009
We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Musso, Emilio, Nicolodi, L., Emilio Musso, MUSSO E, NICOLODI, Lorenzo, NICOLODI L.   +6 more
core   +1 more source

On preferred point geometry in statistics [PDF]

, 2001
A brief synopsis of progress in differential geometry in statistics is followed by a note of some points of tension in the developing relationship between these disciplines. The preferred point nature of much of statistics is described and suggests the
Marriott, P., Salmon, Mark H., Salmon, M., Salmon, Mark, Marriott, Paul, Critchley, Frank, Frank Critchley, Mark Salmon, Critchley, F., Paul Marriott   +9 more
core   +1 more source

Geometry of skeletal structures and symmetry sets [PDF]

, 2012
In this thesis we study the geometry of symmetry sets and skeletal structures. The relationship between a symmetry point (skeletal point) and the associated midlocus point is studied and the impact of the singularity of the radius function on this ...
Alghanemi, Azeb Zain Jafar
core   +6 more sources

Poisson algebras via model theory and differential-algebraic geometry [PDF]

, 2017
Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim, Omar León Sánchez, Stéphane Launois, Jason Bell, Leon Sanchez, Omar, Sanchez, Omar; id_orcid, Rahim Moosa, Launois, Stephane, Bell, Jason   +8 more
core   +1 more source

Dynamic Differential Geometry in Education

, 2009
We present an augmented reality application which introduces differential geometry in educational dynamic geometry software. New functionality such as a Frenet frame, center and circle of curvature in arbitrary curve points, and others were ...
Kaufmann, Hannes
core   +4 more sources

An introduction to differential geometry in econometrics [PDF]

, 2000
In this introductory chapter we seek to cover sufficient differential geometry in order to understand its application to Econometrics. It is not intended to be a comprehensive review of either differential geometric theory, nor of all the applications ...
Salmon, Mark H., Marriott, Paul
core  

Differential Geometry of Identity Maps: A Survey

, 2020
An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM:M→M, we usually assume that the domain M and the range M ...
Bang-Yen Chen
core   +1 more source