754 reputation
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visits member for 1 year, 11 months
seen 6 hours ago

cs student


Apr
13
accepted Lee, Introduction to Smooth Manifolds Solutions
Apr
12
comment $X \in T_pM$, there is a smooth vector field $\tilde X$ on $M$ such that $\tilde X_p=X$
@user86418 Thank you for the clarification, I think my confusion was that although $\frac{\partial}{\partial x^i}$ to $\frac{\partial}{\partial y^i}$ gives an isomorphism between the tangent spaces, the tangent vectors $\frac{\partial}{\partial x^i}$ and $\frac{\partial}{\partial y^i}$ are not necessarily the same ones.
Apr
12
comment Lee, Introduction to Smooth Manifolds Solutions
@user10444 I included a reference request tag. I think that if the solutions are available then it is more efficient for the community if the asker tries to solve the problem with the solutions before asking someone else to reproduce them again.
Apr
12
comment Lee, Introduction to Smooth Manifolds Solutions
@JackLee I am sorry to read this. I would not be committing a crime in public. The amount of the help I got from the first edition deserves its appreciation - I have bought the 2nd edition of your ebook now.
Apr
11
asked Lee, Introduction to Smooth Manifolds Solutions
Apr
9
accepted A set with a supremum and an infinum inside
Apr
5
comment $X \in T_pM$, there is a smooth vector field $\tilde X$ on $M$ such that $\tilde X_p=X$
@user86418 I made an explicit distinction in an edit between the coordinates. Now $\tilde X$ is defined for all $p \in M$ as for every $p$ there is some chart $(V,\psi)$ such that $p \in V$.
Apr
5
revised $X \in T_pM$, there is a smooth vector field $\tilde X$ on $M$ such that $\tilde X_p=X$
added 110 characters in body
Apr
5
revised $X \in T_pM$, there is a smooth vector field $\tilde X$ on $M$ such that $\tilde X_p=X$
added 110 characters in body
Apr
5
asked $X \in T_pM$, there is a smooth vector field $\tilde X$ on $M$ such that $\tilde X_p=X$
Apr
1
accepted Prove $\{e\}$ is a model of group theory
Apr
1
asked Prove $\{e\}$ is a model of group theory
Mar
29
revised Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
Addition of a general pattern for the sake of completeness.
Mar
29
accepted Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
Mar
29
suggested suggested edit on Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
Mar
29
comment Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
@GitGud I clarified my confusion in the question further.
Mar
29
revised Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
added 115 characters in body
Mar
29
comment Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
To clarify my problem, I do not understand how in general even beyond my examples you get from the bar left side to the limit right hand side. Are you sure about the first one? It has $a=0$ not $t=0$. All I want is a definition of a bar notation.
Mar
29
asked Vertical bar notation: $\frac{d}{dt}|_{t=0}f(a+tv)=$?
Mar
28
revised A set with a supremum and an infinum inside
deleted 1 characters in body