[PDF] Top 20 Cones in the euclidean space with vanishing scalar curvature
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Cones in the euclidean space with vanishing scalar curvature
... of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through ...that the scalar curvature of ... See full document
8
On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
... Montiel in a more general spacetime (Montiel 1999)) obtained the following result: “Let M n be a compact spacelike hypersurface immersed into the de Sitter space S 1 n +1 with ... See full document
8
On four dimensional Dupin hypersurfaces in Euclidean space
... hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are ...characterized in terms of the ... See full document
7
Uniqueness of starshaped compact hypersurfaces with prescribed mth mean curvature in hyperbolic space
... coincides with the m-th elementary symmetric function of principal curvatures of M for a given m? The corresponding existence and uniqueness problems in Euclidean space have been ... See full document
12
BachFlat critical metrics of the volume functional on 4dimensional manifolds with boundary
... obtained in [12] as well as by the characterization of the critical points of the scalar curvature functional, Miao and Tam studied variational properties of the volume ... See full document
18
Constant scalar curvature hypersurfaces with secondorder umbilicity
... that the maximum number of principal curvatures of any Einstein hypersurface immersed in a space form is ...immersed in a space form an Einstein manifold? The answer is yes and ... See full document
24
Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space
... surfaces with embedded ends is yet to be ...results in Collin et al. 2001 about the behavior of embedded CMC 1 ends in H 3 to give various conditions under which such a pair cannot ... See full document
8
A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... 0, the square of the norm of its second fundamental form (or equivalently, its scalar curvature) and asked if the image of such a function is ...complete space-like hypersurface ... See full document
14
Embedded positive constant r-mean curvature hypersurfaces in M
... consider the properties of symmetry of certain embedded hypersurfaces of positive constant r-mean ...mean curvature hypersurface in the Euclidean space must be a standard round ... See full document
17
Braz. J. Phys. vol.40 número2
... Hence, the sought after scalar product (77) must coincide with (79) in a flat region of U, when it is endowed with Cartesian ...variation, vanishing outside a small neighborhood ... See full document
14
S Curvature in the Euclidean Space
... important in Differential Geometry, providing an interesting class of constant mean curvature hypersurfaces and minimal hypersurfaces in a number of spaces endowed with good symmetries and ... See full document
14
On stability of cones in R{n+1} with zero scalar curvature
... with respect to variations of compact support. This variational problem has been studied by Reilly [8], Hounie and Leite [6, 7], Alencar et al. [2] and various others. To express its second variation formula, one ... See full document
16
Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold
... of the Euclidean space with vanishing curvature function, obtained by Hounie-Leite (1995 and ...1999). In order to state our results, we need to introduce some notations ... See full document
7
On Nonlinear Quantum Mechanics, Brownian Motion, Weyl Geometry and Fisher Information
... dilatations) in order to fully understand the physical impli- cations of Weyl’s geometry in QM, along with the interplay between Bohm’s quantum potential and Fisher Information, has ... See full document
8
Space Curves of Constant Breadth according to Bishop Frame in Euclidean 3-Space
... E -space [14]. After then, Önder and et. al., gave the diferential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space [15]. Furthermore, ... See full document
7
Geometric Analogy and Products of Vectors in n Dimensions
... as the re- lation the cr s product and area, because ju t as uv is related to areas of triangles and parallelograms, the number H is related to con- tents of simplex and parallelotopes, in ... See full document
6
Rigidity Theorems of Clifford Torus
... below. In this situation, by applying the Generalized Maximum Principle due to Yau and Omori (Yau 1975), and a result due to (Cheng 1993), we can generalize all the results in this note to ... See full document
6
Rational Thinking and Reasonable Thinking in Physics
... to the beginning of the 20th century, the Aristo- tle’s principle of contemplation of world was sufficient for understanding our experiencing the ...world. The experiment of ... See full document
2
A Priori estimates for starshaped compact hypersurfaces with prescribed mth curvature function in space form
... [6] L. Caffarelli, L. Nirenberg, and J. Spruck. Nonlinear second order elliptic equations IV. Starshaped compact Weingarten hypersurfaces. In Current Topics in PDE’s, ed. by Y. Ohya, K. Kasahara, N. ... See full document
17
Rev. Bras. Ensino Fís. vol.34 número3
... remarked in Ref. [1], despite the fact that quan- tum field theories are usually formulated in coordinate space, calculations, in both T = 0 and T ̸= 0 cases, are almost always ... See full document
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