Integral formulas in riemannian geometry
01 Mar 1973-Bulletin of The London Mathematical Society (Oxford University Press (OUP))-Vol. 5, Iss: 1, pp 124-125
About: This article is published in Bulletin of The London Mathematical Society.The article was published on 1973-03-01. It has received 331 citations till now. The article focuses on the topics: Riemannian geometry & Fundamental theorem of Riemannian geometry.
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TL;DR: In this article, an integral formula on an (n + 3)-dimensional, compact, minimal contact three CR-submanifold M of (p + 3) dimensions was derived.
Abstract: In this paper we derive an integral formula on an ( n + 3)- dimensional, compact, minimal contact three CR-submanifold M of ( p
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TL;DR: In this paper, the Pfaff theory for PDE is applied to a particular conformally equivariant system of differential equations, and the dependency of any kind of function describing spacetime waves, with respect to 20 parametrizing functions, is shown.
Abstract: On the basis of a "local" principle of equivalence of general relativity, we consider a navigation in a kind of "4D-ocean" involving measurements of conformally invariant physical properties only. Then, applying the Pfaff theory for PDE to a particular conformally equivariant system of differential equations, we show the dependency of any kind of function describing "spacetime waves", with respect to 20 parametrizing functions. These latter, appearing in a linear differential Spencer sequence and determining gauge fields of deformations relatively to "ship-metrics" or to "flat spacetime ocean metrics", may be ascribed to unified electromagnetic and gravitational waves. The present model is based neither on a classical gauge theory of gravitation or a gravitation theory with torsion, nor on any Kaluza-Klein or Weyl type unifications, but rather on a post-Newtonian approach of gravitation in a four dimensional conformal Cosserat spacetime.
1 citations
TL;DR: In this paper, explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed for all oriented and time-oriented conformal Lorentz manifolds with maximal dimension.
1 citations
1 citations
01 Jan 2008
TL;DR: In this article, a Sasakian manifold with quasi-conformal curvature tensors was studied and the object of the paper was to study the curvatures of the manifold.
Abstract: The object of the paper is to study a Sasakian manifold with quasi-conformal curvature tensor.
1 citations