| 21. | All theses cases dealt with the situation where the contact manifold is a contact submanifold of a symplctic manifold.
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| 22. | An important corollary is that every complex submanifold of a K�hler manifold is volume minimizing in its homology class.
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| 23. | The submanifold topology on an immersed submanifold need not be the relative topology inherited from " M ".
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| 24. | The submanifold topology on an immersed submanifold need not be the relative topology inherited from " M ".
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| 25. | Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
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| 26. | Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
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| 27. | Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
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| 28. | The solution of this partial differential equation system is the submanifold \ Sigma of the contact system to \ Sigma.
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| 29. | If this is the case, then is not an embedded submanifold of, but may instead be an immersed submanifold.
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| 30. | If this is the case, then is not an embedded submanifold of, but may instead be an immersed submanifold.
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