Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra [PDF]
, 2009 W. A. Zúñiga‐Galindo
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On some submanifolds of a locally product manifold [PDF]
Kodai Mathematical Journal, 1986 In this paper the author defines a cohomology class for each compact semi-invariant submanifold M of a locally product Riemannian manifold M' and uses this cohomology class to obtain a necessary condition for the semi-invariant submanifold to have certain non-vanishing cohomology groups. He also studies the stability of anti-invariant submanifolds in a
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Expected local topology of random complex submanifolds [PDF]
, 2022 Damien Gayet
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Twisted product CR-submanifolds in a locally conformal Kaehler manifold
Publications de l'Institut Mathematique, 2013 Recently, we have researched certain twisted product CR-submanifolds in a Kaehler manifold and some inequalities of the second fundamental form of these submanifolds [11]. We consider here two kinds of twisted product CR-submanifolds (the first and the second kind) in a locally conformal Kaehler manifold.
Matsumoto, Koji, Şentürk, Zerrin
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WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS IN LOCALLY RIEMANNIAN PRODUCT MANIFOLDS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractIn this paper, we prove that there are no warped product proper semi-slant submanifolds such that the spheric submanifold of a warped product is a proper slant. But we show by means of examples the existence of warped product semi-slant submanifolds such that the totally geodesic submanifold of a warped product is a proper slant submanifold in ...
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The geometric Cauchy problem for developable submanifolds
, 2019 Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\gamma$ in $\mathbb{R}^{m+n}$, we consider the following problem: To find an $m$-dimensional developable submanifold of $\mathbb{R}^{m+n}$, that is, a ruled
Raffaelli, Matteo
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Real-analytic submanifolds which are local uniqueness sets for holomorphic functions of 𝐶³ [PDF]
, 1983 Gary A. Harris
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LOCALLY SYMMETRIC HALF LIGHTLIKE SUBMANIFOLDS IN AN INDEFINITE KENMOTSU MANIFOLD [PDF]
Communications of the Korean Mathematical Society, 2012 A codimension \(2\) submanifold \(M\) of a pseudo-Riemannian manifold \((\bar M, \bar g)\) is called half light-like if the radical distribution \(\mathrm{Rad}(TM)=TM \cap TM ^{\perp}\) is a vector subbundle of \(TM\) and \(TM^\perp\) has rank one. Because of possible ranks of \(\mathrm{Rad}(TM)\), all codimension \(2\) light-like submanifolds are ...
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Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces [PDF]
, 1999 Dmitri Zaitsev
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II [PDF]
Proceedings of the International Geometry Center, 2017 In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}. In particular, he considered this submanifold in Kaehlerian manifolds, \cite{MR1328947}.
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