Some reduction theorems for even-dimensional slant submanifolds of a $C_5 \oplus C_{12}$-manifold

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

A Note on Totally Umbilical Pseudo-slant Submanifolds of a Nearly Kaehler Manifold

In this paper, we study pseudo-slant submanifolds of nearly Kaehler manifolds. A classification theorem on a totally umbilical pseudo-slant submanifold of a nearly Kaehler manifold is proved. 2000 Mathematics Subject Classification: 53C40, 53B25, 53C15.

Some Results on Warped Product Submanifolds of a Sasakian Manifold

Copyright q 2010 Siraj Uddin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a ...

Vanishing theorems for associative submanifolds

Let M7 a manifold with holonomy in G2, and Y 3 an associative submanifold with boundary in a coassociative submanifold. In [5], the authors proved that MX,Y , the moduli space of its associative deformations with boundary in the fixed X, has finite virtual dimension. Using Bochner’s technique, we give a vanishing theorem that forces MX,Y to be locally smooth. MSC 2000: 53C38 (35J55, 53C21, 58J32).

Associative Submanifolds of a G 2 Manifold

We study deformations of associative submanifolds of a G 2 manifold. We show that deformation spaces can be perturbed to be smooth and finite dimensional , and they can be made compact by constraining them with an additional equation and reducing it to Seiberg-Witten theory. This allows us to associate in-variants of certain associative submanifolds. More generally we apply this process to cert...