[PDF] Top 20 Totally real submanifolds of a complex space form
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Totally real submanifolds of a complex space form
... In this section, we assume that M is an m-dimensional totally real submanifold of a complex space form Mc of real dimension 2m A normal vector field is said to be parallel if 7 - 0 for [r] ... See full document
6
Ricci curvature of submanifolds in Kenmotsu space forms
... Riemannian space form with arbitrary ...for submanifolds in complex space forms were studied by Matsumoto et ...for submanifolds in Kenmotsu space ... See full document
8
Commuting Structure Jacobi Operator for Real Hypersurfaces in Complex Space Forms
... on real hypersurfaces in complex space form by using the operator R ...that real hypersurfaces M has commuting structure Jacobi operator if R R X R R X for any vector field X on ... See full document
13
Umbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms
... surfaces. Totally semi-umbilical surfaces are those for which the curvature ellipse degenerates into a segment at every point except perhaps at isolated ones (umbilics) at which it becomes a ...point. ... See full document
5
Polynomial and Rational Convexity of Submanifolds of Euclidean Complex Space
... the submanifolds considered in [10], [12], [14], [16] are polynomially convex near every ...smooth totally real embeddings and, in the case of the class of immersions considered in [16], the property ... See full document
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A note on Chen's basic equality for submanifolds in a Sasakian space form
... almost complex structure J defined by J(X, λd/dt) = (ϕX − λξ, η(X)d/dt) is integrable, where X is tangent to ˜ M, t is the coordinate of R , and λ is a smooth function on ˜ M × R ... See full document
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Application of an integral formula to CR submanifolds of complex hyperbolic space
... a complex space form of constant holomorphic sectional curvature c and let M be an n-dimensional CR-submanifold of (n − 1) CR-dimension in ¯ ...canonical complex structure of ¯ ...classified ... See full document
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Deformation of generic submanifolds in a complex manifold
... Abstract. This paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy conditions. The ... See full document
24
Equivalences of real submanifolds in complex space
... of real analytic equations in the product of the above submanifold and the space of jets, whose exact solutions correspond to biholomorphic equivalences and whose approximate solutions of finite order ... See full document
38
The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non Flat 2 Dimensional Complex Space Form
... H and . On the other hand, real hypersurfaces in have been investigated by J. Berndt [4], S. Montiel and A. Romero [5] and so on. J. Berndt [4] classified all homogeneous Hopf hyersurfaces in as four model ... See full document
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Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi Riemannian Product Manifolds
... of submanifolds immersed in a Riemannian manifold since the normal vector bundle of lightlike submanifolds intersect with tangent bundle making it more interesting to ...lightlike submanifolds of a ... See full document
6
Intersection of almost complex submanifolds
... complex structure J . In this case, any almost Hermitian metric of the base manifold (M, J) induces an almost complex structure of the total space of the complex line bundle Λ − J . The ... See full document
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A basic inequality for submanifolds in a cosymplectic space form
... real submanifolds in a Sasakian space form ˜ M(c) of constant ϕ-sectional cur- vature c is given in ...for submanifolds in a Sasakian space form ˜ M(c) tangential to the ... See full document
9
Isotropic Lagrangian Submanifolds in Complex Space Forms
... Lagrangian submanifolds are parallel, hence semi-parallel ...Lagrangian submanifolds have been ...Lagrangian submanifolds in complex space ... See full document
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Screen conformal half lightlike submanifolds
... duced Ricci tensor to be symmetric and induced nonvanishing sectional curvature of M. Using Kupeli’s [8] concept of an irrotational lightlike submanifold (see Definition 3.7) we show that the induced Ricci tensor of any ... See full document
17
Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi symmetric metric connections
... In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of real space forms endowed with a semi-symmetric metric ... See full document
9
Topological Structure of Riesz Sequence Spaces
... λ form a vector space over ...sequence space. In other words, a sequence space is a vector space whose elements are infinite scalar sequences of real or complex numbers ... See full document
5
Semi invariant warped product submanifolds of cosymplectic manifolds
... Bishop and O ’ Neill [1] introduced the notion of warped product manifolds in order to construct a large variety of manifolds of negative curvature. Later on, the geometrical aspects of these manifolds have been studied ... See full document
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Chen’s Inequalities for Submanifolds in (ĸ, µ) Contact Space Form with a Semi Symmetric Non Metric Connection
... for submanifolds in ( κ µ , ) -contact space form with a semi-symmetric non-metric ...-contact space, Chen invarants. In Section 3, for submanifolds in ( κ µ , ) -contact space ... See full document
16
First eigenvalue of submanifolds in Euclidean space
... According to Nash’s imbedded theorem, every Riemannian manifold can be iso- metrically imbedded in a Euclidean space of sufficiently large dimension. It is very significant to investigate the geometry of submanifold ... See full document
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