Real Hypersurfaces
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 ...
5
On holomorphic extension of functions on singular real hypersurfaces in ℂn
... In this paper, the phenomenon of holomorphicextension of functions on singular real hypersurfaces Σ is investigated. In analogy with the nonsingular case, we need to have the notion of tangential ...
6
On real hypersurfaces in quaternionic projective space with 𝒟⊥ recurrent second fundamental tensor
... In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QP m with Ᏸ⊥ -recurrent second fundamental tensor under certain condition on the [r] ...
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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 ...
13
Real Hypersurfaces in CP2 and CH2 Equipped With Structure Jacobi Operator Satisfying Lξl =▽ξl
... [9] M. Ortega, J. D. Perez and F. G. Santos, “Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Op- erator in Nonflat Complex Space Forms,” Rocky Moun- tain Journal of Mathematics, Vol. 36, ...
5
Einstein real hypersurfaces in complex two plane grassmannians
... For a Kahler or quaternionic Kahler manifold, its real hypersurfaces Le., submanifolds of real codimension one naturally inherited an almost contact metric resp.. almost 3-contact metric[r] ...
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Degenerate real hypersurfaces in C2 with few automorphisms
... “general” real-analytic hypersurface does not possess any nontrivial ...a real-analytic defining ...a real-analytic hypersurface in general position does not have any nontrivial automorphisms! On the ...
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Real hypersurfaces of type A in quarternionic projective space
... Throughout this paper M will denote a connected real hypersurface of the quaternionic projective space QP",rn>3, endowed with the metric g of constant quaternionic sectional curvature 4.[r] ...
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
... Let M be a real hypersurface, which in the following we shall always consider connected, of a quaternionic projective space QP’, rn >_ 2, with metric g of constant quaternionic sectional[r] ...
5
Real hypersurfaces of indefinite Kaehler manifolds
... of In section 2 we define an e-almost contact metric structure on a real hypersurface The next two sections are an indefinite Kahlcr manifold and obtain its principal properties.. and ec[r] ...
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The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
... a real-valued formal power series vanishing at least to fourth ...Levi-nondegenerate hypersurfaces M ⊂ C n+1 admitting embeddings into hyperquadrics; see Proposition ...of real hypersurfaces ...
22
Obstructions to embeddability into hyperquadrics and explicit examples
... nondegenerate real hypersurfaces in C n (with models being the hyperquadrics in view of the Chern-Moser theory [CM74]) proves to be more difficult: On the one hand, Webster [W78] showed that any ...
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On minimal hypersurfaces of nonnegatively Ricci curved manifolds
... Let M be a complete connected riemannian manifold of dimension d We assume that M is noncompact and that the Ricci and class C curvature of M is everywhere nonnegative.. Meyer [2] proved[r] ...
6
Chow hypersurfaces and realizability problems in tropical geometry
... Chow hypersurfaces were first introduced by Cayley in [5] for curves in P 3 and then generalized by Chow and Van der Waerden in [6]. The main feature of the Chow hypersurface is that it is the vanishing locus of a ...
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Index estimates for free boundary minimal hypersurfaces
... minimal hypersurfaces) and in Section 3 (concerning some Hodge-theoretic aspects for manifolds with boundary), while the core of our approach (following [1]) is presented in Section 4 and Section 5, the latter ...
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Hypersurfaces in a conformally flat space with curvature collineation
... If a 4-dimensional pseudo-Einstein hypersurface M4 is isometrically embedded into a conformally fiat space jr5 admitting CC generated by a vector field whose tangential component generat[r] ...
10
On hypersurfaces in a locally affine Riemannian Banach manifold
... Hence, from 2.28 we deduce that the essential hypersurface hypersphere or pseudohypersphere of the second order in a locally affine infinite-dimensional Banach manifold M is a Riemannian ma[r] ...
5
Compactness analysis for free boundary minimal hypersurfaces
... minimal hypersurfaces, with special emphasis on monotonicity formulae and curvature esti- ...smooth hypersurfaces with boundary (without assuming either minimality of the hypersurface or orthogonal ...
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6. On a uniqueness condition for $CR$ functions on hypersurfaces
... for hypersurfaces due to Shafin [26], where the author originally requires that the hypersurface has a positive eigenvalue of the Levi form at 0 and that the growth condition in the theorem is independent of ...
12
On nonnegatively curved hypersurfaces in hyperbolic space
... Naturally the embeddedness problem for a complete noncompact hypersurface in hyperbolic space is related to its asymptotic boundary at infnity. The asymptotic boundaries at infnity of complete hypersurfaces with ...
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