Multidimensional simple waves in fully relativistic fluids
A special version of multi--dimensional simple waves given in [G. Boillat, {\it J. Math. Phys.} {\bf 11}, 1482-3 (1970)] and [G.M. Webb, R. Ratkiewicz, M. Brio and G.P. Zank, {\it J.
Akhiezer A I +28 more
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CL-Transformation on 3-Dimensional Quasi Sasakian Manifolds and Their Ricci Soliton
This paper explores the geometry of 3-dimensional quasi Sasakian manifolds under CL-transformations. We construct both infinitesimal and CL-transformation and demonstrate that the former does not necessarily yield projective killing vector fields.
Rajesh Kumar +2 more
doaj +1 more source
Point and Lie Bäcklund symmetries of certain partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of MA in Mathematics at Massey University [PDF]
The aim of this thesis is to: (1) Explore the use of differential forms in obtaining point and contact symmetries of particular partial differential equations (PDEs) and hence their corresponding similarity solutions. [1] and [4].
Pigeon, David Leslie
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Certain infinitesimal transformation of normal contact metric manifold
Introduction. In the previous paper [2], the author studied infinitesimal conformal and projective transformations of normal contact metric manifold. In the present paper, we study certain infinitesimal transformation of normal contact metric manifold and prove the following THEOREM 1.
openaire +3 more sources
Hamiltonian constraint formulation of classical field theories
Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values.
Zatloukal, Vaclav
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On infinitesimal conformal and projective transformations of normal contact spaces
Introduction. In the previous paper [ 4 ]° the author discussed some properties of normal contact spaces. However, problems concerning infinitesimal transformations have not been studied. In the present paper such problems are concerned and some satisfactory answers are given. In § 1, we state the fundamental identities of normal contact spaces. In § 2,
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Superanalogs of symplectic and contact geometry and their applications to quantum field theory [PDF]
The paper contains a short review of the theory of symplectic and contact manifolds and of the generalization of this theory to the case of supermanifolds. It is shown that this generalization can be used to obtain some important results in quantum field
Schwarz, Albert
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Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an {\it extended ...
Bergman +20 more
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Techniques for the study of singularities with applications to resolution of 2-dimensional schemes
We give an overview of invariants of algebraic singularities over perfect fields. We then show how they lead to a synthetic proof of embedded resolution of singularities of 2-dimensional schemes.Comment: 26 pages; minor changes have been ...
A. Altman +35 more
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The Rigidity of Spherical Frameworks: Swapping Blocks and Holes [PDF]
A significant range of geometric structures whose rigidity is explored for both practical and theoretical purposes are formed by modifying generically isostatic triangulated spheres. In the block and hole structures (P, p), some edges are removed to make
Finbow, Wendy +2 more
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