Results 151 to 160 of about 355 (178)
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Isometric Immersions of almost Hermitian Manifolds
Canadian Journal of Mathematics, 1969The Lefschetz theorem on hyperplane sections, as proved by Andreotti and Frankel (1), depends upon the following result.THEOREM. If M is a non-singular affine algebraic variety of real dimension 2k of complex n-space, thenThis theorem, which is interesting in itself, has been strengthened by Milnor (7), who showed that M has the homotopy type of a k ...
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J-harmonic functions on almost Hermitian manifolds
Differential Geometry and its Applications, 2020The purpose of this paper is to examine the \(J\)-Laplacian operator \(\Delta_J=\mathrm{div} J \nabla\) acting on smooth functions on an almost Hermitian manifold \((M,J,g)\). Let \(\omega(X,Y)=g(JX,Y)\) be a fundamental 2-form for an almost Hermitian structure. An almost Hermitian manifold is called almost-Kähler if \(d\omega=0\) and it is called semi-
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Spectral geometry for almost isospectral hermitian manifolds
Geometriae Dedicata, 1993The author studies the relationship between the spectral geometry of a Riemannian manifold and its holomorphic geometry. Let \(\lambda_{n}^{p,q}\) be the eigenvalues of the complex Laplacian on forms of type \((p,q)\). One says two Hermitian manifolds are strongly \(\alpha\) isospectral if for all \((p,q)\) \[ sup_{n\rightarrow\infty}\mid\lambda_{n ...
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On conformally flat almost Hermitian manifolds
Journal of Geometry, 2002The paper studies conformally flat almost Hermitian manifolds of real dimension \(2n\) (\(n\geq 2\)). Denote by \(J\) the underlying almost complex structure, by \(\rho\) the Ricci tensor, by \(\rho^*\) the \(*\)-Ricci tensor \(\rho^*(x,y)={\text{ tr}}(z\rightarrow R(x,Jz)Jy\)), by \(Q\) the Ricci operator, by \(S\) the scalar curvature and by \(S ...
Toulias, Thomas, Xenos, Philippos J.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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A report on almost quaternionic Hermitian manifolds
1995Let \(M^{4n}\) be a \(4n\)-dimensional manifold. An almost hypercomplex Hermitian structure on \(M^{4n}\) is defined by a pair \((H,g)\) on \(M^{4n}\), where \(H=(J_\alpha )_{\alpha =1,2,3}\) is an almost hypercomplex structure on \(M^{4n}\) and \(g\) is a Riemannian metric on \(M^{4n}\) which is Hermitian with respect to \(H\).
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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