Results 111 to 120 of about 5,383,504 (242)
Characterizations of Real Hypersurfaces in a Complex Space Form
, 2007 We study a real hypersurface M in a complex space form Mn(c), c ≠ 0, whose shape operator and structure tensor commute each other on the holomorphic distribution of M.
Ki Hyun Kim, In-Bae Kim, Woon Ha Sohn
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On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
AxiomsA hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
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On the growth of the relative volume of a tube with its radius
, 1992 SynopsisIn this paper we obtain some theorems of Bishop–Gromov type for tubes about a submanifold and semitubes about a real hypersurface of a Riemannian or Kaehler manifold with curvature bounded either from below or from above.
Fernando Giménez
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Electronic Journal of Differential Equations, 2010 We study the nonlinear elliptic problem with discontinuous nonlinearity $$displaylines{ -Delta u = f(u)H(u-mu ) quadhbox{in } Omega, cr u =h quad hbox{on }partial Omega, }$$ where $H$ is the Heaviside unit function, $f,h$ are given functions and ...
Sabri Bensid, Sidi Mohammed Bouguima
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Ricci solitons and real hypersurfaces in a complex space form
, 2009 We prove that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field.
Kimura, Makoto, Cho, Jong Taek
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Hopf Hypersurfaces in Complex Two-Plane Grassmannians With $\mathfrak{D}$-Parallel Shape Operator
, 2015 In this paper we consider a generalized condition for shape operator of a real hypersurface $M$ in complex two-plane Grassmannian $G_2(\mathsf{C}^{m+2})$, namely, $\mathfrak{D}$-parallel shape operator of $M$.
Pak, Eunmi, Suh, Young Jin, Lee, Hyunjin
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SOME CHARACTERIZATIONS OF THE HOMOGENEOUS RULED REAL HYPERSURFACE IN A COMPLEX HYPERBOLIC SPACE
Motivated by the notion of ruled surfaces in Euclidean 3-space, we consider ruled real hypersurfaces isometrically immersed into an n-dimensional complex hyperbolic space of constant holomorphic sectional curvature c(< 0).
Maeda, Sadahiro
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Formulation and proof of the gravitational entropy bound
Journal of High Energy PhysicsWe provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory’s phase space.
Artem Averin
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Holomorphic bundles framed along a real hypersurface and the Riemann-Hilbert problem
Let $X$ be a connected, compact complex manifold and $S\subset X$ a separating real hypersurface, so that $X$ decomposes as a union of compact complex manifolds with boundary $\bar X^\pm$.
Teleman, Andrei
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