Results 41 to 50 of about 42,946 (260)
Axioms, 2021 We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensional Euclidean space E4. We find the Gauss map of helicoidal hypersurface in E4. We obtain the characteristic polynomial of shape operator matrix. Then, we
Erhan Güler
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Hypersurface foliation approach to renormalization of ADM formulation of gravity [PDF]
, 2014 We carry out ADM splitting in the Lagrangian formulation and establish a procedure in which (almost) all of the unphysical components of the metric are removed by using the 4D diffeomorphism and the measure-zero 3D symmetry.
I. Park
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A complete complex hypersurface in the ball of C^N [PDF]
, 2014 In 1977 P.Yang asked whether there exist complete immersed complex submanifolds g : M^k --> C^N with bounded image. A positive answer is known for holomorphic curves (k=1) and partial answers are known for the case when k>1.
J. Globevnik
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karliğa, B., Hacisalihoğlu, H. H.
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Parallel Hypersurfaces in 𝔼4 and Their Applications to Rotational Hypersurfaces
MathematicsThis study explores parallel hypersurfaces in four-dimensional Euclidean space E4, deriving explicit expressions for their Gaussian and mean curvatures in terms of the curvature functions of the base hypersurface. We identify conditions under which these
Sezgin Büyükkütük +3 more
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Extrinsic and intrinsic curvatures in thermodynamic geometry
Physics Letters B, 2016 We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information.
Seyed Ali Hosseini Mansoori +2 more
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HYPERSURFACE EXCEPTIONAL SINGULARITIES [PDF]
International Journal of Mathematics, 2001 This paper studies hypersurface exceptional singularities in [Formula: see text] defined by non-degenerate function. For each canonical hypersurface singularity, there exists a weighted homogeneous singularity such that the former is exceptional if and only if the latter is exceptional.
Ishii, Shihoko, Prokhorov, Yuri
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Proper-time hypersurface of nonrelativistic matter flows: Galaxy bias in general relativity [PDF]
, 2014 We compute the second-order density fluctuation in the proper-time hypersurface of non-relativistic matter flows and relate it to the galaxy number density fluctuation in general relativity.
Jaiyul Yoo
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Convexity of 𝜆-hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 2022 We prove that any n n -dimensional closed mean convex λ \lambda - hypersurface is convex if λ ≤ 0. \lambda \le 0. This generalizes Guang’s work on 2 2 -dimensional strictly mean convex λ \lambda -hypersurfaces.
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