Results 21 to 30 of about 72,858 (181)
Implications of Spontaneous Glitches in the Mass and Angular Momentum in Kerr Space-Time [PDF]
, 1997 The outward-pointing principal null direction of the Schwarzschild Riemann tensor is null hypersurface-forming. If the Schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history of an outgoing light-like ...
C. Barrabès +6 more
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Normalization of Norden — Chakmazyan for distributions given on a hypersurface
Дифференциальная геометрия многообразий фигур, 2020 In the projective space, we continue to study a hypersurface with three strongly mutual distributions. For equipping distributions of a hypersurface, normalization in the sense of Norden — Chakmazyan is introduced internally.
N.A. Eliseeva
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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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$L_k$-Biharmonic hypersurfaces in the 3-or 4-dimensional Lorentz-Minkowski spaces [PDF]
Journal of Mahani Mathematical Research, 2023 A hypersurface $ M^n $ in the Lorentz-Minkowski space $\mathbb{L}^{n+1} $ is called $ L_k $-biharmonic if the position vector $ \psi $ satisfies the condition $ L_k^2\psi =0$, where $ L_k$ is the linearized operator of the $(k+1)$-th mean curvature of ...
Rahim Hoseinoghli, Akram Mohammadpouri
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Characterization of Biharmonic Hypersurface
Researches in Mathematics, 2022 The main purpose of this paper is to study biharmonic hypersurface in a quasi-paraSasakian manifold $\mathbb{Q}^{2m+1}$. Biharmonic hypersurfaces are special cases of biharmonic maps and biharmonic maps are the critical points of the bienergy functional.
S.K. Srivastava, K. Sood, K. Srivastava
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Intrinsic Geometry of a Null Hypersurface [PDF]
, 2000 We apply Cartan's method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of such surfaces and hence solve the local equivalence problem for null ...
Ashtekar A +8 more
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International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
Advances in Mathematics, 2008 56 pages. v2: Some material added in section 1; minor changes.
CILIBERTO C, RUSSO, Francesco, SIMIS, A.
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Compact Dupin hypersurfaces [PDF]
Notices of the International Congress of Chinese Mathematicians, 2021 29 pages.
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