Results 1 to 10 of about 17,208 (65)
Real analytic manifolds in
We will classify n-dimensional real submanifolds in ℂ n which have a set of parabolic complex tangents of real dimension n-1. All such submanifolds are equivalent under formal biholomorphisms. We will show that the equivalence classes under convergent local biholomorphisms form a moduli space of infinite dimension.
Ahern, Patrick, Gong, Xianghong
openaire +1 more source
The Hodge conjecture: The complications of understanding the shape of geometric spaces
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
doaj +1 more source
D-Branes and Spin^c Structures [PDF]
It was recently pointed out by E. Witten that for a D-brane to consistently wrap a submanifold of some manifold, the normal bundle must admit a Spin^c structure.
Becker +8 more
core +3 more sources
Some examples of special Lagrangian tori
I point out some very elementary examples of special Lagrangian tori in certain Calabi-Yau manifolds that occur as hypersurfaces in complex projective space. All of these are constructed as real slices of smooth hypersurfaces defined over the reals. This
Bryant, Robert L.
core +3 more sources
We first review the notion of a $G_2$-manifold, defined in terms of a principal $G_2$ ("gauge") bundle over a $7$-dimensional manifold, before discussing their relation to supergravity. In a second thread, we focus on associative submanifolds and present
Frederik Witt +4 more
core +1 more source
Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
We study the topology of Hamiltonian-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in a work of the first author.
A Amarzaya +29 more
core +1 more source
"Universal" inequalities for the eigenvalues of the biharmonic operator [PDF]
In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and quaternionic projective spaces.
Ilias, Said, Makhoul, Ola
core +3 more sources
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Uddin, Siraj
core +1 more source
Cycles, submanifolds, and structures on normal bundles
We give explicit examples of degree 3 cohomology classes not Poincare dual to submanifolds, and discuss the realisability of homology classes by submanifolds with Spin-C normal bundles.Comment: Several changes including an improvement of Theorem 1, our ...
Bohr, C., Hanke, B., Kotschick, D.
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Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds
The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to ...
Barletta +25 more
core +1 more source

